Quadratics by Graphing and Tables

A function that can be written in the form f(x)=ax²+bx+c

An equation that can be written in the form ax²+bx+c

Match the following

• roots

• another name for the solutions of an equation

• x-intercepts

• the sign in these is the opposite of the sign for the zeros, solutions, roots, and x-intercepts

• zeros

• the x-values of the x-intercepts

• linear factors

• the x-values where f(x)=0

• solutions

• the coordinate points where a graph intersects the x-axis

what are the x-intercepts of x²=9

• (-3,0) and (3,0)

• (0,3) and (0,-3)

• x=-3 and x=3

• (3,-3)

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

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

• D

• A

• B

• C

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.

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

What is the graph of x²=14x-49?

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