Question 248955
{{{f(x) = 2x2 - 2x - 24}}}
{{{f(x) = 2(x2 - x - 12)}}}
{{{f(x) = 2(x-4)(x+3)}}}
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y-intercept is defined by f(0).
It is where the line crosses the y-axis.
{{{f(0) = 2(0-4)(0+3)}}}
{{{f(0) = -8*3 = -24}}}
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x-intercept is defined by f(x) = 0.
It is where the line crosses the x-axis.
Recall
{{{f(x) = 2(x-4)(x+3)}}}
If x=4, then the entire right-hand side = 0, so that is an x-intercept.
If x=-3, then the entire right-hand side = 0, so that is another x-intercept.
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The graph is useful to review.  It is a parabola.
*[invoke quadratic "x", 2, -2, -24]