Describe how the graph of the equation relates to the graph of y = x2.f(x) = 5x2
A. a translation 5 units up
B. a vertical stretch by a factor of 5
C. a horizontal stretch by a factor of 5
D. a translation 5 units to the right
Answer: B
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Solve.A certain radioactive isotope decays at a rate of 0.125% annually. Determine the half-life of this isotope, to the nearest year.
A. 400 years B. 6 years C. 241 years D. 555 years
Provide an appropriate response.Use the FOIL method to show that (5x + 10)(x - 10) is 5x2 - 40x - 100. If you were asked to completely factor 5x2 - 40x - 100, why would it be incorrect to give (5x + 10)(x - 10) as your answer?
What will be an ideal response?
Find the vertex, focus, and directrix of the parabola. Graph the equation.x2 - 8x = 12y - 64
A. vertex: (4, 4)
focus: (7, 4)
directrix: x = 1
B. vertex: (4, 4)
focus: (1, 4)
directrix: x = 7
C. vertex: (4, 4)
focus: (4, 1)
directrix: y = 7
D. vertex: (4, 4)
focus: (4, 7)
directrix: y = 1
Solve the problem.A ball is thrown downward with an initial velocity of 28 meters per second from a cliff that is high. The height of the ball is given by the quadratic equation
where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be
from the ground. Round your answer to the nearest tenth of a second.
A. 1.1 seconds B. 2.2 seconds C. 1.2 seconds D. 1.3 seconds