Question

What are the roots/zeroes/y-intercepts of my parabola x^2+ 5x - 24 = 0? How many roots are there and how do you know?

Answer 1

The parabola equation given is,

`x^2+5x-24=0`

I will be resolving the answers using graph.

The graph of the function will be shown below

From the graph above, the roots or the zeros of the parabola are the points where the curve touches the x-axis.

Hence, the roots/zeros of the parabola is

`x=-8,3`

Also, the y-intercept of the parabola is the point where the curve touches the y-axis.

Therefore, the y-intercept is

`y=-24`

Hence, there are two roots which are -8 and