Question

The path of an underwater drone is modeled by quadratic function d, where x is the horizontal distance, in miles, from the launch site, and
d() is the depth below the surface of the water, in meters.
diz)= 0.412 - 20 + 70
Rewrite the equation in vertex form. Based on the vertex form equation, which statements are true?

A.) the drone reaches its minimum 25 miles from the launch site

B.) at it’s minimum, the drone’s depth is -70 meters

C.) at its minimum, the drone’s depth is -180 meters

D.) the drone reaches its minimum 46 miles from the launch site

E.) at its minimum, the drone’s depth is -430

F.) the drone reaches its minimum 50 miles from the launch site

[Select all the correct answers]

Answer 1

Based on the vertex form equation, the statements that are true are:

A.) the drone reaches its minimum 25 miles from the launch site

C.) at its minimum, the drone’s depth is -180 meters.

Rewriting the equation in vertex form

Given:

x = horizontal distance, in miles, from the launch site

d(x)= depth below the surface of the water, in meters.

Equation= 0.4x ²- 20x + 70

Hence

Rewritten the given equation ( 0.4x ²- 20x + 70) in vertex form will be:

Vertex form: d(x)=[2(x-25)²÷5] -180

Vertex= -180, 25

Minimum=-180 at x=25

Therefore the correct option is A, C.

Learn more about vertex form here:brainly.com/question/17987697

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