A crickets jump can be measured by the function h(x) = -4x^2 + 36x, where h(x) is the height in cm and x is the horizontal distance in cm. how far did the cricket jump?

A: 3 cm

B: 6 cm

C: 9 cm

D: 12 cm

Option C: 9 cm is the distance that the cricket jump

Explanation:

Given that the crickets jump can be measured by the function

Where h(x) is the height in cm and x is the horizontal distance in cm.

We need to determine the distance that the cricket jump.

Distance:

The distance that the cricket jump can be determined by substituting in the function

Thus, we have,

Switch sides, we get,

or

or

Thus, the value of x is 9

Hence, the cricket jump up to 9 cm

Therefore, Option C is the correct answer.

a

step-by-step explanation:

-2x-4

step-by-step explanation: