Quadratic Graph to Equation

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

Which expression could define this function?

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

Which equation matches the graph?

Tags

CCSS.HSF-IF.C.7A

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6

is graphed on the right.

Find the coordinates for the x-intercepts, y-intercept and vertex

• (-3, -6)

• x-intercept

• (0, 3)

• y-intercept

• (-5.5, 0) (-0.5, 0)

• vertex

Tags

CCSS.HSF-IF.C.7A

The quadratic equation is in STANDARD FORM

y = x² + 6x + 3

and is graphed on the right.

Label the coordinates for the x-intercepts, y-intercept and vertex

d

c

b

a

(-5.5, 0)

(-3, -6)

(0, 3)

(-0.5, 0)

Tags

CCSS.HSF-IF.C.7A

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

The quadratic equation in VERTEX FORM: y = (x + 3)² - 6 is graphed on the right. Find the coordinates for the x-intercepts, y-intercept and vertex

• (0, 3)

• vertex

• (-3, -6)

• y-intercept

• (-5.5, 0) (-0.5, 0)

• x-intercept

Tags

CCSS.HSF-IF.C.7A

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

(a)  

• F

• G

• H

• J

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

Label the following in the graph:

a

b

d

c

e

vertex

axis of symmetry (AOS)

root/x-intercept right

y-intercept

root/x-intercept left

Tags

CCSS.HSF-IF.C.7A