Graph each function. Compare the graph of each function with the graph of $y=x^2$.

(b) $g(x)=(3x)^2+1$

Write the standard form of the equation of the parabola that has the indicated vertex and whose graph passes through the given point.

Vertex: $(4,1)$; point: $(2,-1)$

A one-bedroom apartment rents for $650 a month. The rent is expected to increase by 6% per year. What will be the total amount spent on rent if a person rents the apartment for the entire 5-year period?

A one-bedroom apartment rents for $650 a month. The rent is expected to increase by 6% per year. What will be the annual rent expense on the apartment after 5 years?

A new photocopier costs $9000 and depreciates each year such that it retains only 65% of its preceding year’s value. What is the value of the photocopier after 5 years?

Find the domain of the function and identify any vertical and horizontal asymptotes.

$$f(x)=\frac{3x^2+1}{x^2+x+9}$$

Find the indicated sum for the geometric series.

$$\sum _ { k = 1 } ^ { 5 } 18 \left( \frac { 1 } { 2 } \right) ^ { k - 1 }$$

Find the indicated sum for the geometric series.

$$\sum _ { k = 1 } ^ { 7 } - 2 ( 5 ) ^ { k - 1 }$$

Find the Indicated sum for each geometric series.

$$\sum_{k=1}^{8}(-4)^{k-1}$$

What were the Letters from a Farmer in Pennsylvania?

Suppose that a basketball is dropped from a height of 3 ft. If the ball rebounds to 70% of its height after each bounce, how high will the ball reach after the 4th bounce? the 9th bounce?

Use the Rational Zero Test to list all possible rational zeros of $f(x)=2x^4-17x^3+35x^2+9x-45$. Verify that the zeros of f shown on the graph are continued in the list.

Find the 11th term of the arithmetic sequence.

$$- 9.2 , - 8.4 , - 7.6 , - 6.8 , \dots$$

Expand the series and evaluate.

$$\sum _ { k = 1 } ^ { 5 } ( - 1 ) ^ { k + 1 } ( 2 k - 1 )$$