Graph Quadratic Functions When Equation Is Written With Two Binomial Expressions

the shape of a quadratic equation on a graph.

• parabola

• radical sign

• continuous function

• discrete function

the turning point on the graph of a quadratic function.

• Vertex of a parabola

• nonlinear graph

• origin

• ordered pair

an equation with the highest power of a variable being the second power.

• Linear equation

• Quadratic equation

• Cubic equation

• Quartic equation

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

• (-5.5, 0) (-0.5, 0)

• x-intercept

• (0, 3)

• vertex

• (-3, -6)

• y-intercept

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

(a)  

• F

• G

• H

• J

Label the following in the graph:

a

b

d

c

e

root/x-intercept left

axis of symmetry (AOS)

y-intercept

vertex

root/x-intercept right

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

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

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 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

• (-5.5, 0) (-0.5, 0)

• y-intercept

• (-3, -6)

• x-intercept