Graphing from Standard Form Quadratics

Which of the following is the correct equation for the given graph?

• f(x) = (x - 2)² - 1

• f(x) = (x + 2)² - 1

• f(x) = -(x + 2)² - 1

• f(x) = -(x - 2)² - 1

Tags

CCSS.HSF-IF.C.7A

What are the x-intercepts (zeros)?

• x = -2 and x = 2

• x = -1 and x = 1

• x = 0

• x = 2 and x = -4

Tags

CCSS.HSF-IF.C.7A

Identify the vertex and whether the graph opens up or down.

• (5, 2); opens up

• (5, 2); opens down

• (-5, 2); opens up

• (-5, 2); opens down

Given the equation for this parabola, does this parabola have a maximum or minimum value?

• Maximum

• Minimum

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)  

Range : (d)  

• (-3, -5)

• (0, 4)

• x = -3

• x ≥ -5

• (-2, -4)

• (-6, 4)

• (4, 0)

• x ≥ 3

• x = -5

• -4

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

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

f(x) = (x + 3)² − 5

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

Tags

CCSS.HSF-IF.C.7A

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

8

3

-3

-8

5

-1

Label the following in the graph:

a

b

d

c

e

vertex

root/x-intercept left

axis of symmetry (AOS)

root/x-intercept right

y-intercept

Tags

CCSS.HSF-IF.C.7A

A quadratic graph passes through the point (2, 8) and has a vertex of (-2, -4). Drag the correct coefficients and constant to represent the Standard Form Equation.

i

g

f

-1

5

-3

8

3

-8