Parabola Review Lessons 9.1-9.3

​Parabola Review Lessons 9.1-9.3

• 9.1 Quadratic Graphs and Their Properties

• 9.2 Quadratic Functions

• 9.3 Transformations of Quadratic Functions

​Quadratic Parent Function

​(0, 0)

​Minimum

​Graphs of Quadratic Functions

• Parabolas have a minimum or a maximum.

• The minimum or maximum is the vertex of the parabola.

• Parabolas have an axis of symmetry which is the equation x=#.

• The # used is the x value of the vertex.

Multiple Choice

Is the vertex a minimum or a maximum?

• Minimum

• Maximum

Fill in the Blank

What are the coordinates of the vertex?

(

,

-

)

Fill in the Blank

What is the axis of symmetry?

=

Multiple Choice

The equation for the given parabola is $$y=x^2-6x+7$$ .

Which number should we change if we want the graph to open down?

• We need to change the -6 to 6.

• We need to change the 7 to -7.

• We need to change the 1 on the x² to -1.

• It can't be done because I don't want to think today.

​When |a| is less than 1, the graph compresses (widens).

​When |a| is greater than 1, the graph stretches (narrows).

Multiple Choice

How does the equation $$y=-\frac{3}{8}x^2$$ differ from the parent function $$y=x^2$$

• The graph opens down and is compressed (wider).

• The graph is compressed (wider).

• The graph opens down and is stretched (narrower).

• The graph is stretched (narrower).

Fill in the Blank

What is the y-intercept of the equation $$y=-2x^2+4x+1$$ ?

(

,

)

Fill in the Blank

What is the axis of symmetry of the equation $$y=-2x^2+4x+1$$ ?

=

Fill in the Blank

What is the vertex of the equation $$y=-2x^2+4x+1$$ ?

(

,

)

Draw

Graph $$y=-\left(x-2\right)^2+3$$

Multiple Choice

What is the equation of the graph shown?

• $$y=\left(x-4\right)^2+2$$

• $$y=3\left(x-2\right)^2-4$$

• $$y=3\left(x+2\right)^2-4$$

• $$y=\left(x-2\right)^2-4$$