Question

The vertex of this parabola is at (3,-2). when the x-value is 4, the y-value is 3. whatis the coefficient of the squared expression in the parabolas equation

Answer 1

5

Explanation:

Just took the quiz

Answer 2

The coefficient of the squared expression in the parabolas equation will be 5.

Explanation:

The vertex form of parabola is:
`y=a(x-h)^2 +k` , where
`(h,k)` is the vertex point and
`a` is the coefficient of
`x^2` term.

The vertex is given as
`(3,-2)`. That means,
`h=3` and
`k=-2`

So, the vertex form will be:
`y=a(x-3)^2-2`

Given that, when the x-value is 4, the y-value is 3. So, plugging these values into the above equation, we will get.....

`3=a(4-3)^2-2\\ \\ 3=a(1)^2-2\\ \\ a=3+2=5`

Thus, the coefficient of the squared expression in the parabolas equation will be 5.