8.4 Homework Day 4 Graphing & Transforming Quadratic Functions (Vertex Form)

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a) According to the EOC reference sheet, what is the vertex form of a quadratic function?

b) What transformation is missing from this format?

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Do horizontal transformations affect the x-values or the y-values?

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The quadratic function {𝒇(𝒙)=𝒙^𝟐−𝟑} undergoes two different dilations, creating {𝒈(x)}and {𝒉(𝒙)}, as shown below.

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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?

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Suppose that the graph of the function 𝑓(𝑥) (shown with a dashed line) is dilated in different ways.

Match each graph to its dilation.

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{-f(x)}

{4f(x)}

{f(-x)}

{f(\frac 13x)}

{-\frac 14f(x)}

{f(4x)}

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