Use the parabola tool to graph the quadratic function f(x)=−12x2+7. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.
Accepted Solution
A:
First we find the vertex of parabola [tex]f(x)=-12 x^{2} +7[/tex]
The vertex of parabola is [tex]( \frac{-b}{2a},f( \frac{-b}{2a})) [/tex] Here, b = coefficient of x term a = coefficient of x² term
For given parabola, b = 0 , a = -12
So, [tex] \frac{-b}{2a}= \frac{0}{-24} =0 [/tex]
And,
[tex]f( \frac{-b}{2a} )=f(0) = -12(0)+7=7[/tex]
Thus the vertex of parabola is (0, 7)
To find another point on parabola, substitute x by 1.