Question

A student creates a function (r), to model the path of a T-shirt launched from a T-shirt cannon using a quadratic function. The shape of the parabola is
correct, but the student forgets to account for the launcher's initial height of 4 feet.
.
How can the student correct the function to model the path of the T-shirt correctly?
The student should replace h() with h() - 1
The student should replace h(r) with h(r) + 4.
The student should replace h(r) with h (
1)
O The student should replace h(c) with h(+4).

Answer 1

Given that the initial height of the launcher was above ground, the function

created by the student should be transformed upwards.

• To correct the function to model the path of the T-shirt correctly; The student should replace h(r) with h(r) + 4

Reasons:

The function created by the student = h(r), a model of the path of a T-shirt cannon

The part of the equation left out in the function = The initial height of the cannon

The given initial height of the cannon = 4 feet

Required:

The method of correcting the function to model the path of the T-shirt correctly

Solution:

Given that the function created by the student gives the height of the

cannon, and the initial height of the launcher is 4 feet above the ground

The initial function h(r) should be transformed 4 feet in the upward

direction.

The student should add 4 feet to the function by replacing h(r) with h(r) + 4, to account for the increase in all heights by 4 feet;

The correct option is; The student should replace h(r) with h(r) + 4

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