Answer:
a) Stretched parallel to the y-axis by a scale factor of 5
b) Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.
Step-by-step explanation:
Transformation
y = a f(x)
- The graph of a f(x) is f(x) stretched parallel to the y-axis (vertically) by a factor of a.
- If a < 0, the graph is also reflected in the x-axis
Part (a)
[tex]\textsf{Parent function}:\quad y=x^2[/tex]
[tex]\textsf{Transformed function}:\quad y=5x^2[/tex]
Transformation: Stretched parallel to the y-axis by a scale factor of 5.
Part (b)
[tex]\textsf{Parent function}:\quad y=x^2[/tex]
[tex]\textsf{Transformed function}:\quad y=-\dfrac{5}{2}x^2[/tex]
Stretched parallel to the y-axis by a scale factor of 5/2 and reflected in the x-axis.
