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The parabola shown intersects the y-axis at the point (x, y). What is the value of y?

An object is kicked from a platform. The equation h =−4.9t² + 7t + 9 represents this situation, where h is the height of the object above the ground, in meters, t seconds after it is kicked. Which number represents the height, in meters, from which the object was kicked?

Which expression is equivalent to\( \frac{h^{15}q^4}{h^5q^{16}} \)
,where h>0 and q>0

The function \( f \) is defined by \( f\left(x\right)=-39^x \). The function \( g \) is a decreasing linear function. In the \( xy \)-plane, the graphs of \( y=f\left(x\right) \) and\( y=g\left(x\right) \)intersect at two points, (\( h,\ j \)) and (\( k,\ m \)), where \( j \)  > \( m. \) When \( g(x)<f(x) \), which of the following must also be true?

The functions f and g are defined by the equations shown, where a and b are integer constants, a < b and b < 0. If y = f(x) and y = g(x) are graphed in the xy-plane, which of the following equations displays, as a constant or coefficient, the y-coordinate of the y-intercept of the graph of the corresponding function?
I. \( f\left(x\right)=a\left(4.2\right)^{x+b} \) 
II. \( g\left(x\right)=a\left(4.2\right)^x+b \) 

What is the y-intercept of the graph of \( y=11^x \)  in the xy-plane?

f(t) = 7,000(0.66)^t
The given function f models the number of catalogs a company sent to their customers at the end of each year, where t represents the number of years since the end of 1998, and 0< t <5. lf y = f(t) is graphed in the ty-plane, which of the following is the best interpretation of the y-intercept of the graph in this context?

The function f is defined by f(x)= a^x - b, where a and b are constants. In the xy-plane, the graph of y = f(x) passes through the points (c, 8) and (2c, 218), where c is a constant. Which of the following could be the value of b?

The function f is defined by \( f\left(x\right)=a^x+b \) , where a and b are constants. In the xy-plane, the graph of y= f(x) has an x-intercept at (2, 0) and a y-intercept at (0, -24). What is the value of b?

The expression \( \frac{x^{20}\left(x-4\right)}{5x^2}+\frac{4x^{20}}{5x^2} \)   is equivalent to \( \frac{1}{5}x^c \) , where \( c \) is a constant and \( x \) ＞0. What is the value of \( c \) ?

An acceptable noise criterion rating for the background noise in a laundry room is 50. For a noise criterion rating of 50, the equation y=22(0.997)^x-60+47 gives the estimated sound pressure level, y, in decibels, as a function of the octave band center frequency, x, in hertz, where x≥60. Which of the following is the best interpretation of 47 in this context?

The expression \( \frac{x^{20}\left(x-4\right)}{5x^2}+\frac{4x^{20}}{5x^2} \) is equivalent to \( \frac{1}{5}x^c \) , where c is a constant and x > 0. What is the value of c ?