1B.8 Linear Transformations Practice

What is the effect on the graph of the parent function f(x) = x

when f(x) is replaced by 8f(x)?

• Reflects across the x-axis

• Less steep

• More steep

• Shifts up by 8

What is the effect on the graph of the parent function f(x) = x

when f(x) is replaced by f(x) + 5

• Moves up by 5 units

• Less steep

• More steep

• Moves down by 5 units

If g(x) = 1/2f(x) when f(x) is the parent function, what is the effect on the graph?

• Reflects across the x-axis

• Less steep

• More steep

• Shifts up by 2 units

If h(x) = 4f(x), how is the graph effected?

• Move up by 4

• Less steep

• More steep

• Move down by 4

When t(x) = f(x) – 7, what is the change to the parent function f(x) = x?

• Moves up by 7 units

• Less steep

• More steep

• Moves down by 7 unit

If q(x) = -f(x), how does the graph change?

• Reflects across the x-axis

• Less steep

• Reflect across

  the y axis

• Moves down 1 unit

If m(x) =2/3f(x) what is the effect on the graph of the parent function?

• more steep

  new slope is 2/3

• less steep

  new slope is 2/3

• moves up 2

• reflected across the x axis

If g(x) = f(x) – 4, what is the effect on the graph of the parent function?

• shifts down.

  new y-int at -4

• less steep

  new slope is 4

• moves up

  new y-int at 4

• reflected across the x axis

If m(x) = 5𝑓(𝑥) what is the effect on the graph of the parent function?

• more steep

  new slope is 5

• less steep

  new slope is 5

• moves up 5

• reflected across the x axis

If g(x) = f(x) + 127, what is the effect on the graph of the parent function?

• shifts down.

  new y-int at -127

• less steep

  new slope is 127

• moves up

  new y-int at 127

• reflected across the x axis