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 Blanks

What are the coordinates of the vertex?

Fill in the Blanks

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 Blanks

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

Fill in the Blanks

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

Fill in the Blanks

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?

• $$y=\left(x-4\right)^2+2$$

• $$y=3\left(x-2\right)^2-4$$

• $$y=3\left(x+2\right)^2-4$$

• $$y=\left(x-2\right)^2-4$$