Question

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.

Answer 1

Here are a bunch of CORRECT answers, your answer is somewhere in there. For the first CORRECT answer the second point is -5,-9. Don't make the same mistake I did on question 3, but it still shows the correct answer. I love to help.

Answer 2

First we find the vertex of parabola
`f(x)=-12 x^(2) +7`

The vertex of parabola is
`( (-b)/(2a),f( (-b)/(2a)))`
Here,
b = coefficient of x term
a = coefficient of x² term

For given parabola, b = 0 , a = -12

So,

`(-b)/(2a)= (0)/(-24) =0`

And,


`f( (-b)/(2a) )=f(0) = -12(0)+7=7`

Thus the vertex of parabola is (0, 7)

To find another point on parabola, substitute x by 1.


`f(1)=-12( 1^(2)) +7=-12+7=-5`

So the second point on parabola is (1,-5)

The plot of parabola is shown in image below: