Download in
Google Play
vertex form
18
Share
Save
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Sign up
Sign up to get unlimited access to thousands of study materials. It's free!
Access to all documents
Join milions of students
Improve your grades
By signing up you accept Terms of Service and Privacy Policy
Name: Topic: Main Ideas/Questions Steps to Graph a QUADRATIC EQUATION EXAMPLES X=-b га Notes/Examples Find the axis of symmetry. Axis of Symmetry: X=0 (0,0 Domain: ∞∞ Range: ∞ 2 Find the vertex. Put the vertex in the middle row of the table. Fill in a table of values using your calculator, Plot the points and connect them into a smooth parabola! Directions: Graph each quadratic equation using a table. Identify the axis of symmetry, vertex, domain, and range. 1. y = x² Y Vertex: 2. y = A = 1 b = 2 C = -1 - 2 Y = (-2) +2621-1 1 Axis of Symmetry: Vertex:( Domain: Range: X=-1 =(-1₁-2) 83₁ y=-x²-8x-17 2 (1) A³1B8C÷-17 Domain: (-4) ²-86-4)-17 Axis of Symmetry: X=4 Range: 16432-17 Vertex:4₁- 20,00 X 1-1-2 -∞,∞ -2-1 I-2₁00) -32 Date: y टपं £ Class: -1 1 -24 x y 2 0-1 X y -2-5 -B-2 -4 -1 -5-2 -5 A # ⒸGina Wilson [Al Things Algebro, LLC), 2012-2017 Nome: Liv Ingalls Topic: 3 Main Ideas/Questions VERTEX FORM of a Quadratic Equation from ● Standard Form: Y = ax²+bx+c Date: Notes/Examples Vertex Form of a Quadratic Equation:[Y= a (x = h) ²+ k (hik) ● is the vertex: X is the axis of symmetry Directions: Give the axis of symmetry and vertex of each equation. 1. y=(x+4)²-2 2. y=-(x-3)² 2 Y=a(xh) ²³th Y= a(x-7) ²+ k Axis of Symmetry: 3. y=(x-5)²-4 Y=a(x-h)² +k (X=-4) Vertex: (-4,-2) Axis of Symmetry: X = 5 GRAPHING Gvertexy= a (x-1) th Form - (+2)² +7 6. y = 3(x-1)² Axis of Symmetry: X=-20 Vertex: Domain: (-∞, ∞) :(-∞0,7] Range: 2 3(-1) Vertex: (5-4) Directions: Graph each equation using a table of values. Identify the axis of symmetry, vertex, domain, and range. 5. y = -(x + 2)² +7 Class: X Axis of Symmetry: X= Vertex: (1,0) (-∞0,00) :(-2,7) 16 1-217 -36 -43 4. y=-2x² +3 Yea(+7+k y 3 Axis of Symmetry: X=3 Vertex: (3, 0) ||12 6 3 0 Domain: 23 Range: 312 Axis of Symmetry:...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
X= Vertex: (0,3) A Gina Wison (All Things Algebra. ULC), 2012-2017 TRANSFORMATIONS from the Parent Function The most simplistic quadratic equation is X • This is known as the Parent function. • A transformation is a position 8. y = x² +5 Directions: Graph each function. Describe how it compares to the parent function shown on the graph. 7. y = (x + 2)² 量 1-20 9. y=(x + 1)²-6 4 y 1-2 -3 10. y=-(x-4)² +1 y y y change of a figure. to the Size Transformations: Left 2 or Transformations: OMTHPARK Transformations: Left 1 Down 6 Transformations: Righ 4 Down I Flip A Ⓒ Gina Wilson (All Things Algebra. LLC), 2012-2017 PUT IT TOGETHER! WRITING EQUATIONS 11. y = 3x² -7 X y 12. y=-(x-3)²-2 X y 3-21 •h is the horizontal is the Virtical • If a is negative, the function is. Given a quadratic equation in vertex form, y = a(x-h)² +k: Transformations: shift. (+ shifts Left - shifts Right _shift. (+ shifts up - shifts Down V flip across the lal> 1 represents a vertical Stretch 0<lal <1 represents a vertical • Compression. 15. translated 3 units left and 4 units down Transformations: 2 (x+3) ²-4 17. reflected over the x-axis, then translated 3 units down. Right 3 Down 2 Flip 19. vertically compressed by a factor of 1/3, then translated 8 units up Compression of 1/2 Directions: Transformations from the parent function y = x² are described below. Write an equation to represent the function. 13. translated 2 units right yea(x-h) 14. translated 5 units up 16. translated 7 units right and 4 units up (x-7)² +4 18. reflected over the x-axis, then translated 5 units right and 2 units down --(x-5)²-2 20. vertically stretched by a factor of 2, reflected over the x-axis, then translated 4 units left ⒸGina Wilson (All Things Algebra, LLC), 2012-2017
a simple yet detailed step by step guide to learning vertex form with key words, descriptions, and examples.
Olivia ingalls
0 Follower
a simple yet detailed step by step guide to learning vertex form with key words, descriptions, and examples.
Similar Content
0
Graphing Quadratic Functions In Different Forms - Flashcards
0
different methods for graphing and solving quadratics - Flashcards
0
Understanding Transformations in Mathematics - Flashcards
0
Features of quadratic functions - Flashcards
0
Graphing Quadratics in Vertex Form - Flashcards
5
Quadratic Functions in Standard Form
Quadratic Functions
Name: Topic: Main Ideas/Questions Steps to Graph a QUADRATIC EQUATION EXAMPLES X=-b га Notes/Examples Find the axis of symmetry. Axis of Symmetry: X=0 (0,0 Domain: ∞∞ Range: ∞ 2 Find the vertex. Put the vertex in the middle row of the table. Fill in a table of values using your calculator, Plot the points and connect them into a smooth parabola! Directions: Graph each quadratic equation using a table. Identify the axis of symmetry, vertex, domain, and range. 1. y = x² Y Vertex: 2. y = A = 1 b = 2 C = -1 - 2 Y = (-2) +2621-1 1 Axis of Symmetry: Vertex:( Domain: Range: X=-1 =(-1₁-2) 83₁ y=-x²-8x-17 2 (1) A³1B8C÷-17 Domain: (-4) ²-86-4)-17 Axis of Symmetry: X=4 Range: 16432-17 Vertex:4₁- 20,00 X 1-1-2 -∞,∞ -2-1 I-2₁00) -32 Date: y टपं £ Class: -1 1 -24 x y 2 0-1 X y -2-5 -B-2 -4 -1 -5-2 -5 A # ⒸGina Wilson [Al Things Algebro, LLC), 2012-2017 Nome: Liv Ingalls Topic: 3 Main Ideas/Questions VERTEX FORM of a Quadratic Equation from ● Standard Form: Y = ax²+bx+c Date: Notes/Examples Vertex Form of a Quadratic Equation:[Y= a (x = h) ²+ k (hik) ● is the vertex: X is the axis of symmetry Directions: Give the axis of symmetry and vertex of each equation. 1. y=(x+4)²-2 2. y=-(x-3)² 2 Y=a(xh) ²³th Y= a(x-7) ²+ k Axis of Symmetry: 3. y=(x-5)²-4 Y=a(x-h)² +k (X=-4) Vertex: (-4,-2) Axis of Symmetry: X = 5 GRAPHING Gvertexy= a (x-1) th Form - (+2)² +7 6. y = 3(x-1)² Axis of Symmetry: X=-20 Vertex: Domain: (-∞, ∞) :(-∞0,7] Range: 2 3(-1) Vertex: (5-4) Directions: Graph each equation using a table of values. Identify the axis of symmetry, vertex, domain, and range. 5. y = -(x + 2)² +7 Class: X Axis of Symmetry: X= Vertex: (1,0) (-∞0,00) :(-2,7) 16 1-217 -36 -43 4. y=-2x² +3 Yea(+7+k y 3 Axis of Symmetry: X=3 Vertex: (3, 0) ||12 6 3 0 Domain: 23 Range: 312 Axis of Symmetry:...
Name: Topic: Main Ideas/Questions Steps to Graph a QUADRATIC EQUATION EXAMPLES X=-b га Notes/Examples Find the axis of symmetry. Axis of Symmetry: X=0 (0,0 Domain: ∞∞ Range: ∞ 2 Find the vertex. Put the vertex in the middle row of the table. Fill in a table of values using your calculator, Plot the points and connect them into a smooth parabola! Directions: Graph each quadratic equation using a table. Identify the axis of symmetry, vertex, domain, and range. 1. y = x² Y Vertex: 2. y = A = 1 b = 2 C = -1 - 2 Y = (-2) +2621-1 1 Axis of Symmetry: Vertex:( Domain: Range: X=-1 =(-1₁-2) 83₁ y=-x²-8x-17 2 (1) A³1B8C÷-17 Domain: (-4) ²-86-4)-17 Axis of Symmetry: X=4 Range: 16432-17 Vertex:4₁- 20,00 X 1-1-2 -∞,∞ -2-1 I-2₁00) -32 Date: y टपं £ Class: -1 1 -24 x y 2 0-1 X y -2-5 -B-2 -4 -1 -5-2 -5 A # ⒸGina Wilson [Al Things Algebro, LLC), 2012-2017 Nome: Liv Ingalls Topic: 3 Main Ideas/Questions VERTEX FORM of a Quadratic Equation from ● Standard Form: Y = ax²+bx+c Date: Notes/Examples Vertex Form of a Quadratic Equation:[Y= a (x = h) ²+ k (hik) ● is the vertex: X is the axis of symmetry Directions: Give the axis of symmetry and vertex of each equation. 1. y=(x+4)²-2 2. y=-(x-3)² 2 Y=a(xh) ²³th Y= a(x-7) ²+ k Axis of Symmetry: 3. y=(x-5)²-4 Y=a(x-h)² +k (X=-4) Vertex: (-4,-2) Axis of Symmetry: X = 5 GRAPHING Gvertexy= a (x-1) th Form - (+2)² +7 6. y = 3(x-1)² Axis of Symmetry: X=-20 Vertex: Domain: (-∞, ∞) :(-∞0,7] Range: 2 3(-1) Vertex: (5-4) Directions: Graph each equation using a table of values. Identify the axis of symmetry, vertex, domain, and range. 5. y = -(x + 2)² +7 Class: X Axis of Symmetry: X= Vertex: (1,0) (-∞0,00) :(-2,7) 16 1-217 -36 -43 4. y=-2x² +3 Yea(+7+k y 3 Axis of Symmetry: X=3 Vertex: (3, 0) ||12 6 3 0 Domain: 23 Range: 312 Axis of Symmetry:...
Can't find what you're looking for? Explore other subjects.
Knowunity is the # 1 ranked education app in five European countries
Knowunity was a featured story by Apple and has consistently topped the app store charts within the education category in Germany, Italy, Poland, Switzerland and United Kingdom. Join Knowunity today and help millions of students around the world.
Still not sure? Look at what your fellow peers are saying...
iOS User
I love this app so much [...] I recommend Knowunity to everyone!!! I went from a C to an A with it :D
Stefan S, iOS User
The application is very simple and well designed. So far I have found what I was looking for :D
SuSSan, iOS User
Love this App ❤️, I use it basically all the time whenever I'm studying
Alternative transcript:
X= Vertex: (0,3) A Gina Wison (All Things Algebra. ULC), 2012-2017 TRANSFORMATIONS from the Parent Function The most simplistic quadratic equation is X • This is known as the Parent function. • A transformation is a position 8. y = x² +5 Directions: Graph each function. Describe how it compares to the parent function shown on the graph. 7. y = (x + 2)² 量 1-20 9. y=(x + 1)²-6 4 y 1-2 -3 10. y=-(x-4)² +1 y y y change of a figure. to the Size Transformations: Left 2 or Transformations: OMTHPARK Transformations: Left 1 Down 6 Transformations: Righ 4 Down I Flip A Ⓒ Gina Wilson (All Things Algebra. LLC), 2012-2017 PUT IT TOGETHER! WRITING EQUATIONS 11. y = 3x² -7 X y 12. y=-(x-3)²-2 X y 3-21 •h is the horizontal is the Virtical • If a is negative, the function is. Given a quadratic equation in vertex form, y = a(x-h)² +k: Transformations: shift. (+ shifts Left - shifts Right _shift. (+ shifts up - shifts Down V flip across the lal> 1 represents a vertical Stretch 0<lal <1 represents a vertical • Compression. 15. translated 3 units left and 4 units down Transformations: 2 (x+3) ²-4 17. reflected over the x-axis, then translated 3 units down. Right 3 Down 2 Flip 19. vertically compressed by a factor of 1/3, then translated 8 units up Compression of 1/2 Directions: Transformations from the parent function y = x² are described below. Write an equation to represent the function. 13. translated 2 units right yea(x-h) 14. translated 5 units up 16. translated 7 units right and 4 units up (x-7)² +4 18. reflected over the x-axis, then translated 5 units right and 2 units down --(x-5)²-2 20. vertically stretched by a factor of 2, reflected over the x-axis, then translated 4 units left ⒸGina Wilson (All Things Algebra, LLC), 2012-2017