Functions with Graphs Quadratics

How many zeros does this function have?

• 0

• 1

• 2

• 3

Tags

CCSS.HSA.APR.B.3

The highlighted blue point is what you can use to identify the graph's

• axis of symmetry

• y-intercept

• vertex

• maximum

• minimum

Answer explanation

The point does not cross the y-axis so it is not a y-intercept. The point is also not a minimum because it's the highest point in the graph. This point can be used to find the axis of symmetry (x = x-coordinate of the vertex), the maximum (y-coordinate of the vertex), and the point, itself, IS the vertex.

Tags

CCSS.HSF-IF.C.7A

What is/are the zeros of the graph?

• (-3, 1)

• (-4, 0)

• (-2, 0)

• (0, -4)

• (0, -2)

Tags

CCSS.HSF-IF.C.7A

Over what interval is this graph decreasing?

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

Looking at the graph,

The vertex is at Point ​ (a)  

The Positive Zero is at Point ​ (b)  

The y-intercept is at Point ​ (c)  

The Negative Zero is a Point ​ (d)  

• 3

• 4

• 2

• 1

• Not Shown

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

Label the following in the graph:

a

b

d

c

e

root/x-intercept left

axis of symmetry (AOS)

root/x-intercept right

vertex

y-intercept

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

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

(a)  

• F

• G

• H

• J

Tags

CCSS.HSF-IF.C.7A