Question

What transformation was not done to the linear parent function, f(x) = x, to get the function g(x) = -5(x+3)-8?

Answer 1

Step-by-step explanation

The formulas for the transformations mentioned in the problem are:

• Reflection over the x-axis: f(x) → g(x) = -f(x),

,

• Shift down by a units (a > 0): f(x) → g(x) = f(x) - a,

,

• Shift left by b units (b > 0): f(x) → g(x) = f(x + b),

,

• Vertical stretch by a factor k: f(x) → g(x) = k f(x).

In this problem, we have the transformation:

`f(x)=x\rightarrow g(x)=-5(x+3)-8.`

Comparing this expression with the transformations above, we identify:

• a ,reflection over the x-axis, due to the minus sign in front of 5,

,

• a ,shift down by 8 units,,

,

• a shift left by 3 units,,

,

• a ,vertical stretch by a factor of 5,.

We see that the only transformation not made is a shift right by 3 units.

Answer

C. Shift right 3 units