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

Question

asked Nov 13, 2019 36.5k views

2 Answers

Tomwesolowski · Answer 1 · 2019-11-17T08:34:48+0000

Answer:

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
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.