Determine if the graph of the function opens upward or downward and whether it has a maximum or a minimum point.f(x) = 8x2

A. Downward, minimum
B. Upward, minimum
C. Downward, maximum
D. Upward, maximum


Answer: B

Mathematics

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Solve the problem.A projectile is fired from a cliff 600 feet above the water at an inclination of 45° to the horizontal, with a muzzle velocity of 340 feet per second. The height h of the projectile above the water is given by  where x is the horizontal distance of the projectile from the base of the cliff. How far from the base of the cliff is the height of the projectile a maximum?

A. 903.13 ft B. 1806.25 ft C. 3309.38 ft D. 1503.13 ft

Mathematics

Solve the problem.(i) Use the figure to write the product. (ii) Find the area of the rectangle if x = 2 inches.(5x + 1)(x + 1)

A. (i) 5x2 + 4x + 1; (ii) 29 in2 B. (i) 5x2 - 6x + 1; (ii) 9 in2 C. (i) 5x2 + 6x + 25; (ii) 57 in2 D. (i) 5x2 + 6x + 1; (ii) 33 in2

Mathematics

Find the domain and range of the function.f(x) = 3x2 - 30x + 82

A. Domain: (-?, ?); Range: [7, ?) B. Domain: (-?, ?); Range: [0, ?) C. Domain: (-?, ?); Range: (-?, 0] D. Domain: (-?, ?); Range: (-?, 5]

Mathematics

Write the quadratic function in the form y = a(x - h)2 + k.f(x) = x2 + 6x - 4

A. f(x) = (x + 3)2 - 13 B. f(x) = (x + 6)2 + 40 C. f(x) = (x + 3)2 + 13 D. f(x) = (x + 6)2 - 40

Mathematics