Question

Carlos graphs the equations y = 0.5x2 + 3 and y = –4x2 + 24x – 35 and generates the graph below. Which conclusion is supported by the graph?

Answer 1

Answer with explanation:

The equation of two parabolas are :

`1. y=0.5 x^2 +3\\\\2. y =-4 x^2 + 24 x- 35`

Drawing the graph of both the function on Desmos graphing :

The first parabola has vertex at , (0,3) and axis along positive x axis.

The second parabola is opening Downwards having vertex at, (3,1) and opening Downwards.

The parabola does not have a single point of intersection.

0 intersection point.

Answer 2

It has no solution

Explanation:

Here we have to draw the graph of y = 0.5x^2 + 3 and y = -4x^2 + 24x - 35.

I have attached the graph of these two functions.

Since the graphs of the functions didn't cut each other.

Therefore, answer is "it has no solution."

Hope this will helpful.

Thank you.