Sketching Quadratic Equations

How do we sketch the graphs of quadratic functions. Choose all statementsthat we applied.

• Shape of graph

• y-intercept

• x-intercept

• The axis of symmetry

Tags

CCSS.HSF-IF.C.7A

Which value is the vertex?

• (-4, 0)

• (-1, -9)

• (0, -8)

• (2, 0)

What are the zeroes of this graph?

• x = -4 and 2

• x= -1 and 0

• x = 9 and -8

• x= 4 and -2

Tags

CCSS.HSA-SSE.B.3B

CCSS.HSF-IF.C.8A

What is the equation of this parabola in its factored form?

• y=(x+1)(x+3)

• y=(x-1)(x-3)

• y=-(x+1)(x+3)

• y=-(x-1)(x-3)

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)

• y-intercept

• (-3, -6)

• vertex

• (-5.5, 0) (-0.5, 0)

• x-intercept

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

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 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

• (-5.5, 0) (-0.5, 0)

• vertex

• (0, 3)

• y-intercept

Tags

CCSS.HSF-IF.C.7A

Label the following in the graph:

a

b

d

c

e

y-intercept

root/x-intercept left

vertex

root/x-intercept right

axis of symmetry (AOS)

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