Question

Find the x-intercepts of the parabola with vertex (2,13) and y intercept (0,5)

round to the nearest hundredth
i have no idea how to do this problem please help!

Answer 1

What is the vertex of the parabola?

Round to the nearest hundredth.

✔ (8.33, 236.67)

Explanation:

Answer 2

To get the x-intercept we need the equation of the parabola;
the vertex form of the equation is given by:
y=a(x-h)^2+k

where:
(2,13) is the vertex:
Therefore;
y=a(x-2)^2+13
when x=0, y=5
Therefore the value of a will be:
5=a(0-2)^2+13
5-13=4a
4a=-8
a=-2
therefore the equation of the parabola will be:
y=-2(x-2)^2+13
y=-2x^2+8x+5
the x-intercept will be:
x=2-sqrt(7.5)
or
x=2+sqrt(7.5)