Quad functions Hmework

Find a possible formula for the quadratic function described.

(a) Graph has vertex (7, 6)and y-intercept −190.

(b) Graph has x-intercepts −7, 5 and y-intercept 105.

Consider the quadratic function y = −x^2 − 8x − 12.

(a) Complete the square to put the function in vertex form.

(b) Find the vertex.

(c) Does the function have the maximum or minimum value? Why?

(d) Find the max/min value of the function, and find the x-value giving max/min.

(e) Find the y-intercept.

(f) Find the x-intercept(s). (Show work.)

(g) Graph the function

A ball is thrown vertically upward from the top of a building. The height h

[m] of the ball above the ground is approximately given as a function of time t [sec]

by h = 70 + 25t − 5t^2. Answer the following. Make sure to show algebraic work.

(a) When does the ball hit the ground?

(b) How high does the ball go? When? (Must show work by completing the square.)

Initially Q0 dollars is invested to an account earning 5% per month, and Q0

dollars is also invested to another earning 30% every 6 months.

(a) Find a formula for the amount Q of the first account t months later.

(b) Find a formula for the amount Q of the second account t months later.

(c) Which account is better? Explain.

In the year 2010, the population of a town is 15 000. In 2014, its population

is 57 624.

(a) Use the exponential model to find the formula of the population P(t)in t years

since 2010.

(b) Use the formula to predict the population in the year 2016.

Use only the values in one digit log table (below) to fill in the rest.

Explain.

x 2 3 5 6 7 35 64

logx 0.3 0.7 0.8 0.85

Use only the values in three digits log table (handout) to find the

approximate value.

(a) 8. 29 x 3. 14 (Hint: 1. ∗ ∗ ∗ ∗ = 1 + 0. ∗ ∗ ∗ ∗)

(b) 8. 29 / 3. 14

Subject | Mathematics |

Due By (Pacific Time) | 05/16/2015 12:00 am |

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