Question

Determine the zero(s) of the quadratic function y=−5x2+16x
.(1 point)
Responses

(−3.2,0)
left parenthesis negative 3.2 comma 0 right parenthesis

There are no zeros.
There are no zeros.

(0,0)(3.2,0)
left parenthesis 0 comma 0 right parenthesis left parenthesis 3.2 comma 0 right parenthesis

(0,5)(0,16)

Answer 1

To determine the zeros of a quadratic function, we need to set y equal to zero and solve for x. In this case, the quadratic function is y = -5x^2 + 16x.

Setting y equal to zero:
0 = -5x^2 + 16x

Next, we can factor out an x from the right side:
0 = x(-5x + 16)

Now, we have two equations to solve for x:
1) x = 0
2) -5x + 16 = 0

For equation 1, when x = 0, y is also 0. So we have the zero (0,0).

For equation 2, we can solve for x by isolating it:
-5x + 16 = 0
-5x = -16
x = 16/5
This gives us the zero (3.2, 0).

Therefore, the zeros of the quadratic function y = -5x^2 + 16x are (0,0) and (3.2,0). Answer choice (0,0) (3.2,0) is the correct response.