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

Answer:

Fot this parabola the coefficient for squared term is 7

Step-by-step 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:

$4 = a*(0 + 1)^{2} -3$

$4 = a*(1)-3$

$4 +3= a*(1)$

$a=7$