a) According to the EOC reference sheet, what is the vertex form of a quadratic function? _______
b) What transformation is missing from this format?
_______
1 point
1
Question 2
2.
Do horizontal transformations affect the x-values or the y-values?
1 point
1
Question 3
3.
Do vertical transformations affect the x-values or the y-values?
5 points
5
Question 4
4.
The quadratic function {π(π)=π^πβπ} undergoes two different dilations, creating {π(x)}and {π(π)}, as shown below.
Complete the tables on paper. Upload your work below. (no work = no credit)
{\bold a)} Name the transformation for {g(x)}.
_______ by a factor of _______
{\bold b)} Name the transformation for {h(x)}.
_______ by a factor of _______
{\bold c)} Which has a more extreme effect on quadratic functions: vertical or horizontal dilations?
_______
10 points
10
Question 5
5.
Given a function {π(π₯)}, decide what transformation is shown in each of the following, and what the result on the graph would be by circling the given options.
Vertical
Horizontal
Stretch
Compress
Reflection
Steeper
Flatter
π(π₯)=π(β8π₯)
π(π₯)=2π(π₯)
π(π₯)= π(2π₯)
π(π₯)=π(βπ₯)
π(π₯)=\frac{1}{2}π(π₯)
π(π₯)=π(\frac12π₯)
π(π₯)=β2π(π₯)
6 points
6
Question 6
6.
Suppose that the graph of the function π( π₯) (shown with a dashed line) is dilated in different ways.
Match each graph to its dilation.
_______ {-f(x)}
_______ {4f(x)}
_______ {f(-x)}
_______ {f(\frac 13x)}
_______ {-\frac 14f(x)}
_______ {f(4x)}
1 point
1
Question 7
7.
Several points on the graph of a quadratic function {π(π)} are shown in the table.
Identify the table for the transformed function defined by {π(π)= β\fracπππ(π)}.