Algebra Lesson 3-3 Quiz v7

Let f(x)=-6x+2 and h(x)=f(\frac{1}{3}x)+4.

A. What is the slope-intercept equation for h(x), (something like h(x)=mx+b)?

B. What is the slope of h(x)?

C. What is the y-intercept of h(x)?

Continuing with the transformation above, we have f(x)=-6x+2 and h(x)=f(\frac{1}{3}x)+4.

Changing the function f into the transformed function h requires both a horizontal stretch by a factor of 3 and vertical translation by 4 units.

Which of these two transformations affects the y-intercept, and how so? Explain your answer and add any equations or graphs necessary to make your explanation clear.

Select the equations that accurately match the graph.

If f(x)=34x+25 and g(x)=f(x-3)+15, which equation defines g(x)?

A spider produces silk for its web at a regular pace, so that the total linear length of silk in centimeters, f(x), is a function of how many hours the spider has been working, x.

When the spider is working normally, the function f is modeled by the equation f(x)= 75x.

When the spider is forced to consume caffine, the quality of the web it weaves deteriorates. But the rate of silk production does increase, from 75 \frac{\textrm{cm}}{\textrm{hr}} to 100 \frac{\textrm{cm}}{\textrm{hr}}.

What type of transformation describes the change from normal silk production to accelarated silk production?

BONUS: Maximum 2 percentage points

Describe the domain and range of the function f(x) from the scenario above.