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Can someone help me with this question and help me find out what the "a" does in the problem y=a(x-h)^(2)+k

Sagot :

Answer:

See below (and attached file)

Step-by-step explanation:

The value of [tex]a[/tex] in the equation [tex]y=a(x-h)^2+k[/tex] represents how much a vertical parabola will stretch or compress, as well as whether it opens upward or downward:

If [tex]0<|a|<1[/tex], it is a horizontal stretch

If [tex]|a|>1[/tex], it is a horizontal compression

If [tex]a<0[/tex], the parabola opens downward

If [tex]a>0[/tex], the parabola opens upward

The file attached shows a graph with different examples of what happens to a parabola when the value of [tex]a[/tex] changes.

View image Goddessboi
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