Which function includes a COMPRESSION of the quadratic parent function A y=5(x+3)2y=5(x+3)^{2}y=5(x+3) 2 B y=12x2−10y=\frac{1}{2}x^{2}-10y= 2 1 ​ x 2 −10

Answer 1

If g(x) = a*f(x) and |a| < 1, then g(x) is a vertical compression of f(x). If a < 0, then g(x) is a reflection of f(x) across (over) the x-axis.

Note that g(x) could be a vertical compression, an x-axis reflection, or both depending upon the value of a.

Examples: If a = - 2, then you have an x-axis reflection and a vertical stretch.

If a = 1/2, then you have a vertical compression, but no x-axis reflection.

If a = -1/2, then you have a vertical compression and an x-axis reflection.

If a = 3, then you have a vertical stretch but no x-axis reflection.

The sign of a determines whether or not an x-axis reflection occurs. The magnitude (absolute value) of a determines whether a compression or a stretch occurs.

Answer 2

It is really hard to read the font here. I believe that I see a fraction 1/2 for one of these, that would be a vertical compression.

Here are the rules for these:

y=ax²

if 0<a<1, then it is a vertical compression.

if a>1, this is a vertical stretch.