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Scientists recorded data about the ocean water levels at a certain location over a period of 6 hours. The graph shown models the data, where y =0 represents sea level. Which table gives values of x and their corresponding values of y based on the model?

The graph of \( y=f\left(x\right)-11 \) is shown.

Which equation defines the linear function \( f \)?

\( f\left(x\right)=\frac{a-19}{x}+5 \) 
In the given function f, a is a constant. The graph of function f in the xy-plane, where y =f(x), is translated 3 units down and 4 units to the right to produce the graph of y =g(x). Which equation defines function g?

The graph of the linear function \( f \)is shown. What is the y-intercept of the graph of\( y=f\left(x\right) \)?

\( f\left(x\right)=\left(x-1\right)\left(x+3\right)\left(x-2\right) \) 
In the xy-plane, when the graph of the function \( f \) , where \( y=f\left(x\right) \) , is shifted up 6 units, the resulting graph is defined by the function g. If the graph of \( y=g\left(x\right) \)crosses through the point (4, b), where b is a constant, what is the value of b?

The function f is defined by ƒ (x) =7x³. In the xy-plane, the graph of y=g(x) is the result of shifting the graph of y=f(x) down 2 units. Which equation defines function g?

The graph of y = f(x) + 14 is shown. Which equation defines function f ?

The graph of y = f(x) is shown in the xy-plane. What is the value of f(0) ?

The function f is defined by f(x) = (x − 6)(x − 2)(x + 6). In the xy-plane, the graph of y = g(x) is the result of translating the graph of y = f(x) up 4 units. What is the value of g(0) ?

Before liftoff, one of a space shuttle's solid rocket boosters contained 489,000 kilograms (kg) of propellant. Exactly 23 seconds after liftoff,374,046 kg of this propellant remained.On average, how much propellant, in kg, did this solid rocket booster burn each second after liftoff?

The ratio x to y is equivalent to the ratio 7 to 9. If x = 10t, what is the value of y in terms of t ?

The ratio of the base to the height of a triangle is 1 to 8. The base of the triangle is 216 centimeters. What is the height, in centimeters, of the triangle?