Inspect the graph below, which shows a function, f, and its transformation, g(x)=f(x)+k. What is the value of k?
1.5 points
1.5
Question 2
2.
Let f(x)=-24x-7 and h(x)=f(-\frac{3}{8}x).
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)?
1 point
1
Question 3
3.
Which equations match the graph?
1 point
1
Question 4
4.
If f(x)=-2x+2 and g(x)=f(x+5), which equation defines g(x)?
1 point
1
Question 5
5.
An app development company makes a new utility that sells for $2 per download. Counting all their expenses (paying worker wages, rent on their office, etc.), they spent $9,800 bringing the product to market. Their total net profits are modeled by the linear function p_{_{1}}(s)=2s-9800, where the input s is how many copies of the app they sell. When there is a security scare, they pay a special data privacy expert $4,500 to make sure they've followed industry best-practices to protect customer information.
A) Write an equation for a new function p_{_{2}}(s) that takes into account the additional $4,500 cost.
B) Describe the transformation from p_{_{1}}(s) to p_{_{2}}(s).
0 points
0
Question 6
6.
BONUS: Maximum 2 percentage points
Give the upper and lower bounds of the domain and range of the function p_{_{2}}(s) from the scenario above.