Question

Solve the equation by graphing. x^2+14x+45=0 First, graph the associated parabola by plotting the vertex and four additional points, two on each side of the vertex. Then, use the graph to give the solution(s) to the equation. If there is more than one solution, separate them with commas.

Points:
Solution(s):

Answer 1

wheres the image or graph so i can help u?

Answer 2

ok, we know that for
y=ax²+bx+c
the x value of the vertex is -b/(2a)
so
y=1x²+14x+45
vertex is -14/(2*1)=-14/2=-7

sub back to find y value
y=(-7)²+14(-7)+45
y=49-98+45
y=-4
the vertex is (-7,-4)

some other points are
(1,60)
(-1,32)
(-8,-3)
(-9,0)

we see that the solutions to y=0 and y=x^2+14x+45 is at x=-9 and x=-5