a) According to the EOC reference sheet, what is the vertex form of a quadratic function? _______
b) What transformation is missing from this format?
_______
Question 2
2.
Do horizontal transformations affect the x-values or the y-values?
Question 3
3.
Do vertical transformations affect the x-values or the y-values?
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?
_______
Question 5
5.
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)}
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)}.
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.