Quadratic Equations and Graphs

Given the equation y = -2(x + 3)² + 8, identify the axis of symmetry.

• y = -3

• x = -3

• x = 8

• y = -4

Given the equation y = -2x² + 16x -24, identify the vertex and determine if it is a minimum or maximum.

• (-4, -120), maximum

• (4, -24), minimum

• (-4, -8), minimum

• (4, 8), maximum

Given the equation y = -2x² + 16x -24, identify the roots.

• (2, 0), (6, 0)

• (3, 0), (8, 0)

• (-4, 0), (6, 0)

• (-3, 0), (4, 0)

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Identify the equation of the graph.

• y = -(x + 2)² - 2

• y = x² - 4x + 2

• y = 2x² - 8x + 3

• y = - x² + 4x - 2

Tags

CCSS.HSF-IF.C.7A

The graph of a quadratic function is shown on the grid. Which statement is best supported by the graph?

• The function has a zero at 6

• The minimum value of the function is 9

• The vertex of the graph is (9, -3)

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

axis of symmetry (AOS)

y-intercept

root/x-intercept right

vertex

root/x-intercept left

Tags

CCSS.HSF-IF.C.7A

Which statement appears to be TRUE?

• The function has two zeros.

• The minimum value of the function is 9.

Tags

CCSS.HSF-IF.C.7A

• y-intercept is 9, vertex is a minimum, axis of symmetry is x = -3, zeros are -3

• y-intercept is 9, vertex is a maximum, axis of symmetry is x = 3, zeros are 3 and -3

• y-intercept is 0, vertex is a minimum, axis of symmetry is x = 0, zeros are 0

• y-intercept is 9, vertex is a minimum, axis of symmetry is x = -3, zeros are 3 and -3

Tags

CCSS.HSF-IF.C.7A

The graph of quadratic function f is shown on the grid.

Vertex: (a)  

y-intercept: (b)  

Axis of Symmetry: ​ (c)  

Minimum Value: (d)  

• (-3, -5)

• (0, 4)

• x = -3

• -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• 4

• x = -5

• -4

Graph the quadratic function f(x) = -x^2 + 4 and use it to answer the following questions. What is the equation of the axis of symmetry? the y-intercept? and the zeros of the equation?

• x = 0

  (4, 0)

  no solution

• x = 0

  (0, 4)

  no solution

• x = 4

  (4, 0)

  4

• x = 4

  (0,4)

  4

Tags

CCSS.HSF-IF.C.7A