Function Transformations - Linear and Quadratic

The graph of a linear function h is shown on the grid.

Given f(x) = x and h(x)=af(x), what is the value of a?

Enter ONLY the numerical answer

Mathematical Equivalence

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The graphs of linear functions f and g are shown on the grid.

Which function is best represented by the graph of g?

• The graph of f shifted 3 units up to create the graph of g.

• The graph of f is steeper than the graph of g.

• The graph of f is shifted 3 units down to create the graph of g.

• The graph of f is less steep than the graph of g.

• The graph of the new line is steeper than he graph of the original line, and the y-intercept has been translated down.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is steeper than the graph of the original line, and the y-intercept has been translated up.

• The graph of the new line is less steep than the graph of the original line, and the y-intercept has been translated down.

• A vertical shift up

• A horizontal shift to the left

• A vertical shift down

• A horizontal shift to the right

Quadratic functions p and q are graphed on the grid. The graph of p was transformed to create the graph of q.

Which function best represents the graph of q?

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