Fill in each blank with the appropriate response.The graph of y = -5(x + 3)2 - 7 can be obtained from the graph of y = x2 by shifting horizontally  units to the , vertically stretching by a factor of , reflecting across the -axis, and shifting vertically -10.0px;" /> units in the  direction.



A. 3; left; 7; x; 5; downward

B. 3; left; 5; x; 7; downward

C. 3; right; 5; x; 7; downward

D. 3; right; 5; x; 7; upward

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Answer: B

Mathematics

At the given point, find the slope of the curve, the line that is tangent to the curve, or the line that is normal to the curve, as requested.5x2y - ? cos y = 6?, tangent at (1, ?)

A. y = - x + 
B. y = -2?x + ?
C. y = -2?x + 3?
D. y = ?x

Estimate the value of the quantity.The velocity of a projectile fired straight into the air is given every half second. Use right endpoints to estimate the distance the projectile travelled in four seconds.

A. 459.4 m B. 439.8 m C. 879.6 m D. 918.8 m

The top of a ladder slides down a vertical wall at a rate of 0.15 m/s . At the moment when the bottom of the ladder is 1.5 m from the wall, it slides away from the wall at a rate of 0.3 m/s. How long is the ladder?

What will be an ideal response?

Evaluate.Find f(a + 2) when f(x) = x2 - 1.

A. a2 + 4a + 3 B. a2 + 4a + 4 C. a2 + 1 D. a2 + 4