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Write the expression in standard form. (5 points) 

Find the vertex of the graph of the function. (5 points) f(x) = 2×2 – 8x + 9  

From a boat on the lake, the angle of elevation to the top of a cliff is 15°54′. If the base of the cliff is 967 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

From a boat on the lake, the angle of elevation to the top of a cliff is 11°50′. If the base of the cliff is 1568 feet from the boat, how high is the cliff (to the nearest foot)? (5 points)

State the horizontal asymptote of the rational function. For full credit, explain the reasoning you used to find the horizontal asymptote. (5 points)f(x) =  

Write a linear factorization of the function. (5 points)f(x) = x4 + 49×2 

Write the expression as the sine, cosine, or tangent of an angle. sin 57° cos 13° – cos 57° sin 13° (6 points)

The Cool Company determines that the supply function for its basic air conditioning unit is S(p) = 30 + 0.006p3 and that its demand function is D(p) = 150 – 0.12p2, where p is the price. Determine the price for which the supply equals the demand. (5 points)

Verify the identity. cos 4u = cos22u – sin22u (7 points)  

Describe how the graph of y = x2 can be transformed to the graph of the given equation. y = (x – 2)2 – 15 (5 points)