If the equation y = 3x²+ 18x − 13 is written in the form y = a(x − h)²+ k, what are the values of h and k?Deselect Answer

When a ball is thrown straight up at an initial velocity of 54 feet per
second. The height of the ball t seconds after it is thrown is given by
the function h(t) = 54t − 12t². How many seconds after the ball is
thrown will it return to the ground?Deselect Answer

Which quadratic equation has 2 + 3i and 2 − 3i as its solutions?Deselect Answer

x²+ 6x + y²− 8y = 56
5. If the above equation is written in the form (x − h)²+ (y − k)²= r²,
what is the value of r?Deselect Answer

The parabola whose equation is y = ax²+ bx + c passes through the
points (−3, −40), (0, 29), and (−1, 10). What is an equation of the line
of symmetry?Deselect Answer

A parabola passes through the points (0, 0) and (6, 0). If the turning
point of the parabola is T(h, 4), which statement must be true?
I. h = 2
II. If the parabola passes through (1, 2), then it must also pass
through (5, 2)
III. Point T is the highest point of the parabolaDeselect Answer

If the solutions to 2x²− 8x − 5 = 0 are p and q with p > q, what is the value of p − q?Deselect Answer

h(t) = −4.9t²+ 68.6t
The function above gives the height of a model rocket, in meters, t
seconds after it is launched from ground level. What is the maximum
height, to the nearest meter, attained by the model rocket?Deselect Answer

What are the solutions to 3x²− 33 = 18x?Deselect Answer

$$h(x)=-\frac{1}{225}x^{2}+\frac{2}{3}x$$
The function h above models the path of a football when it is kicked
during an attempt to make a field goal where x is the horizontal
distance, in feet, from the kick, and h(x) is the number of feet in the
corresponding height of the football above the ground.
What is the number of feet in the maximum height of the football?Deselect Answer

$$x^{2}+y^{2}=416$$
$$y+5x=0$$
If (x, y) is a solution to the system of equations above and x > 0, what
is the value of the difference x − y?Deselect Answer

An archer shoots an arrow into the air such that its height at any time,
t, is given by the function h(t) = −16t²+ kt + 3. If the maximum height
of the arrow occurs at 4 seconds after it is launched, what is the value
of k?Deselect Answer

The graph of y + 3 = (x − 4)²− 6 is a parabola in the xy-plane. What
are the x-intercepts of the parabola?Deselect Answer

$$\frac{x+5}{4}=\frac{1-x}{3x-4}$$
If the solutions to the equation above are r and s with r > s, what is the value of r − s?Deselect Answer

Which equation represents the line that is the reflection of the line y =
2x − 3 in the y-axis?Deselect Answer

The graph of a quadratic function f intersects the x-axis at x = −2 and x= 6.
If f(8) = f(p), which could be the value of p?Deselect Answer

The equation ax²+ 6x − 9 = 0 will have imaginary roots if ≤Deselect Answer

The marketing department at Sports Stuff found that approximately
600 pairs of running shoes will be sold monthly when the average
price of each pair of running shoes is $90. It was observed that for each
$5 reduction in price, an additional 50 pairs of running shoes will be
sold monthly. What price per pair of running shoes will maximize the
store’s monthly revenue from the sale of running shoes?Deselect Answer

f(x) = ax²+ bx + c, a > 0
 The coordinates of the lowest point on the graph of the function
defined by the equation above is (3, 2). If f(−1) = p, then which of the
following represents the value of p?Deselect Answer

$$h(x)=-\frac{1}{225}x^{2}+\frac{2}{3}x$$
The function h above models the path of a football when it is kicked
during an attempt to make a field goal where x is the horizontal
distance, in feet, from the kick, and h(x) is the number of feet in the
corresponding height of the football above the ground.
The goal post is 10 feet high and a horizontal distance of 45 yards
from the point at which the ball is kicked. By how many feet will the
football fail to pass over the goal post?Deselect Answer

The amount of water remaining in a certain bathtub as it drains when
the plug is pulled is represented by the equation L = −4t²− 8t + 128,
where L represents the number of liters of water in the bathtub and t
represents the amount of time, in minutes, since the plug was pulled.
Which expression represents the number of minutes it takes for half of
the water that was in the bathtub before the plug was pulled to drain?Deselect Answer

A model rocket is launched vertically into the air such that its height at
any time, t, is given by the function h(t) = −16t²+ 80t + 10. What is
the maximum height attained by the model rocket?Deselect Answer

d(t) = −16t²+ 40t + 24
A swimmer dives from a diving board that is 24 feet above the water.
The distance, in feet, that the diver travels after t seconds have elapsed
is given by the function above. What is the maximum height above the
water, in feet, the swimmer reaches during the dive?Deselect Answer

new $$\frac{4}{x-3}+\frac{2}{x-2}=2$$
If the solutions of the equation above in simplest radical form are
\(x=a\pm \sqrt{b}\), what are the values of a and b?Deselect Answer