Linear & Quadratic Transformations

The graph of f(x)=x is transformed to create the graph of g(x)=3/5f(x)-10. Complete the statement to compare the graphs of f and g.

Based on the slope, the graph of g is ​ (a)   the graph of f. The y-intercept is ​​ (b)   that of f.

• less steep than
• less than
• more steep than
• greater than

The graph of f(x)=x is transformed to create the graph of g(x)=1/4f(x)+3. Complete the statement to compare the graphs of f and g.

Based on the slope, the graph of g is ​ (a)   the graph of f. The y-intercept is ​​ (b)   that of f.

• less steep than
• less than
• more steep than
• greater than

The graph of f(x)=x is transformed to create the graph of g(x)=2f(x)+6. Complete the statement to compare the graphs of f and g.

Based on the slope, the graph of g is ​ (a)   the graph of f. The y-intercept is ​​ (b)   that of f.

• less steep than
• less than
• more steep than
• greater than

The graph of f(x)=x is transformed to create the graph of g(x)=5/3f(x)-7. Complete the statement to compare the graphs of f and g.

Based on the slope, the graph of g is ​ (a)   the graph of f. The y-intercept is ​​ (b)   that of f.

• less steep than
• less than
• more steep than
• greater than

The graph of the function f(x)=x is transformed to form the function g(x) such that g(x)=4f(x). Which graph represents f and g?

Blue = f

Red = g

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The graph of the function f(x)=x is transformed to form the function g(x) such that g(x)=1/3f(x). Which graph represents f and g?

Blue = f

Red = g

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The graph of the function f(x)=x is transformed to form the function g(x) such that g(x)=f(x)-6. Which graph represents f and g?

Blue = f

Red = g

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The graph of the function f(x)=x is transformed to form the function g(x) such that g(x)=f(x)+2. Which graph represents f and g?

Blue = f

Red = g

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The graph of linear function h is shown on the grid. Given f(x)=x and h(x)=af(x), what is the value of a?

The graph of linear function h is shown on the grid. Given f(x)=x and h(x)=af(x), what is the value of a?