Quadratic and Linear Compression and Stretches

Which parent function matches the graph?

• y = |x|

• y = x

• y = x²

• Compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, compressed by 1/2, shifted 4 units right and 1 unit up

• Reflected across x-axis, stretched by 1/2, shifted 4 units left and 1 unit up

• Stretched by 1/2, shifted 4 units right and 1 unit down

Identify the parent function of the graph.

• Quadratic

• Rational

• Absolute Value

• Cubic

Tags

A2.FBF.3

The graph shows the function f(x)=x² in blue and another function g(x) in red.  Which could be the equation for g(x)?

• g(x) = 2x²

• g(x) = 1/2x²

• g(x) = x² + 2

• g(x) = (x + 2)²

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x². The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

The graph of f(x) = x² is shown on the grid. Write a statement about the relationship between the graph of f and the graph of g(x) = 7x².

The graph has been ​ (a)   stretched by a factor of ​ (b)   .

• vertically

• 7

• horizontally

• -7

• vertical compression

• vertical stretch

f(x) is transformed so that it maps onto g(x). Which equation would correctly represent g(x)

• g(x)=2f(x)

• g(x)=0.5f(x)

• g(x)=f(x) + 2

• g(x)=f(x + 2)

In the equation f(x)=5(x+3)²-10 what effect does the 5 do when compared to the parent function?

• Vertical stretch by a factor of 5

• Vertical shrink/compress by a factor of 5

• Reflect over x-axis

• Vertical shift up 5 units

Which quadratic function is compressed by the greatest factor?

• y = 5x²

• y = -¼x²

• y = -½x²

• y = 5x²