Quadratics from Graphs

Select all the equations that would graph the parabola.

• y = (x + 1)² - 1

• y = (x - 1)² - 1

• y = x² + 2x

• y = x(x - 2)

• y = x(x + 2)

Tags

CCSS.HSF-IF.C.7A

Select all the equations that would graph the parabola.

• y = (x + 5)² - 4

• y = x² + 10x + 21

• y = x² - 10x + 21

• y = (x - 5)² - 4

• y = (x + 7)(x + 3)

Tags

CCSS.HSF-IF.C.7A

Select all the equations that would graph the parabola.

• y = x² + 4x - 12

• y = -1/2(x + 2)² + 8

• y = -1/2x² - 2x + 6

• y = -(x + 2)² + 8

• y = -1/2(x + 6)(x - 2)

Tags

CCSS.HSF-IF.C.7A

Select all the equations that would graph the parabola.

• y = -x² - 4x + 4

• y = -(x + 4)² +2

• y = -(x +2)² + 4

• y = -x² +4x

• y = -(x - 2)² + 4

Tags

CCSS.HSF-IF.C.7A

Which graph best represents a quadratic function with a range of all real numbers greater than or equal to 3?​

• D

• A

• B

• C

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.

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

Label the following in the graph:

a

b

d

c

e

vertex

y-intercept

root/x-intercept left

axis of symmetry (AOS)

root/x-intercept right

Tags

CCSS.HSF-IF.C.7A

If we have the equation here, can we graph and match?

(a)  

• F

• G

• H

• J

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