Question

find the x-intercepts of the parabola with vertex (-3,-14) and y intercept (0,13). Write answer in (x1,y1),(x2,y2) form. Round to the nearest hundredth.

Answer 1

From the vertex information, we know that the parabola is of the form\
\(y=a(x+3)^2-14\)
Plug in (0,13) we have
\(13=9a-14\)
\(9a=27\)
\(a=3\)
So the parabola is
\(y=3(x+3)^2-14=3x^2+18x+13\)
Setting
\(3x^2+18x+13=0\)
Solve the x by using the quadratic formula.