Respuesta :

#1

Passes through

  • (-1,4)

y=x² passes through (-1,1)

Stepped 4 times

  • y=4x²

#2

First make a negative as parabola is opening downwards.

  • y=-x²

Passes through (1,-2)

y=-x² passes through (1,-1)

So

final graph

  • y=-2x²
semsee45

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.

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