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Math Help - Parabola questions

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    Parabola questions

    If an equation is y=0.5x^2 is it stretched or is it compressed?
    Likewise y=5x^2 is it streched or compressed?
    Thank you
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    Quote Originally Posted by hannah_3 View Post
    If an equation is y=0.5x^2 is it stretched or is it compressed?
    Likewise y=5x^2 is it streched or compressed?
    Thank you
    A factor k in a function f(kx) is known as a "dilation." If [tex]k > 1[tex] then the x-axis is effectively "shrunk:" compared to the function f(x) the function f(kx) has a smaller horizontal "width." If k < 1 then the x-axis is effectively "stretched:" compared to the function f(x) the function f(kx) has a larger horiztonal "width."

    The best way to see this is with an example. I've attached your first problem below. Notice that the blue graph is wider than the red graph.

    -Dan
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