MYP Extended Mathematics Topic 2.4 Stretches and…

A function $f(x)$ is defined by the set of points:

\{(-4,-5), (1,-1), (5,3)\}

If , which of the following represents the transformed set of points on the graph of ?

True or False: A vertical dilation $y = a f(x)$ where $a > 0$ always preserves the $x$ -coordinates of the local maximum and minimum points of the original function $f(x)$ .

Given the function $f(x)$ , if $g(x) = f(bx)$ and the graph of $g$ is known to be a horizontal stretch of the graph of $f$ , which of the following must be true about the constant ?

A function $f$ has a local maximum at $(2, 5)$ . What are the coordinates of the local maximum for the function $h(x) = f\left(\frac{1}{4}x\right)$

If the function $h$ is defined by $h(x) = f(0.4x)$ , by what scale factor is the graph of $f$ dilated parallel to the $x$ -axis to obtain the graph of $h$ ?

{(-2,-5), (0.5,-1), (2.5,3)}

{(-4,-2.5), (1,-0.5), (5,1.5)}

{(-4,-10), (1,-2), (5,6)}

{(-8,-5), (2,-1), (10,3)}

MYP Extended Mathematics 2.4 Stretches and Compressions Questionbank

MYP Extended Mathematics 2.4 Stretches and Compressions Questionbank

MYP Extended Mathematics 2.4 Stretches and Compressions Questionbank

MYP Extended Mathematics 2.4 Stretches and Compressions Questionbank

MYP MYP Extended Mathematics Topic 2.4 Stretches and Compressions Questionbank