Question

the vertex of this parabola is at (-3,-1). when the y-value is 0, the x-value is 4. what it the coefficient of the squared term in the parabolas equation?

Answer 1

a) 7

Explanation:

Answer 2

Fot this parabola the coefficient for squared term is 7

Explanation:

The formula for vertex equation is:

`x = a*(y-h)^(2)+k`

if vertex is at (-3,-1) and in the formula the vertex is (k,h), we replace this values

`x = a*(y - (-1))^(2) + (-3)`

`x = a*(y +1)^(2) -3`

The other point of this parabola is (4,0), so we replace it in the formula below:

`4 = a*(0 + 1)^(2) -3`

`4 = a*(1)-3`

`4 +3= a*(1)`

`a=7`