Question

y=x^2 is reflected across the x-axis and then scaled vertically by a factor of 1/8

Answer 1

The parabola y=x^2 is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = $-\frac{1}{8}$ x².

What is Equation of parabola?

The general equation of a parabola is: y = a(x-h²2 + k or x = a(y-k)² +h, where (h,k) denotes the vertex.

The standard equation of a regular parabola is y² = 4ax.

The given equation is of parabola : y= x²

Now, we have to reflect across the x- axis and then scaled vertically by a factor 1/8.

When we reflect this parabola in the x-axis and then scaled vertically by a factor of 1/8.

Then, the new equation of parabola be:

  y = $-\frac{1}{8}$ x²

Hence, The parabola y=x² is reflected across the x axis and then scaled vertically by a factor of 1/8 is y = $-\frac{1}{8}$ x².

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