Question

HELP HELP HELP!!!

Drag each equation to the correct location on the graph. Not all equations will be used.
Match each equation of a tangent line to the correct tangent on the graph of the function f(x) = 0.1x2 − 2x + 15.

Answer 1

y = 2x - 25

Explanation:

First find the gradient, we can see it goes through (30,35) and 35,45), and since gradient is found by 'change in y / change in x' we can do: (45-35) / (35-30) = 10/5 = 2

So we know we are looking for an equation with 2x in it.

We have two options: y = 2x - 25 and y = 2x - 75.

Plug in one of the points and see which of the equations works.

Replacing y with 35 and x with 30 in the first equation we have: 35 = 2(30) - 25 = 60 - 25 = 35, this is indeed true.

However if we did the same with the second equation: 35 = 2(30)-75 = 60 - 75 = -15, this is false since 35 does not equal -15, so it can't be the second equation.

In conclusion it must be y = 2x - 25

Answer 2

Answer: Look at the picture below.

Step-by-step explanation: I got this right on Edmentum