找到你今天要练的题。

The function f is defined by f(x) = (x -8)(x -5)(x - 4). 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)?

The function p is defined by \( p(x)= a((x+5)^{2}−b) \) \( ((x+5)^{2}−c) \) , where a, b, and c are constants. In the xy-plane, the graph of \( y=p\left(x\right) \)passes through the points (\( -6,\ 24 \)) and (\( 0,\ 360 \)). What is the value of \( p(−10)+p(−4)? \)

The graph of \( y=f\left(x\right)+4 \)  is shown. Which equation defines the function \( f \) ?

\( f\left(x\right)=4\left(x-a\right)\left(x-b\right)\left(x-c\right) \) 
The function \( f \)  is defined by the given equation, where a, b, and c are distinct constants. When\( a<x<b \), the value of \( f\left(x\right) \) is positive. The graph of \( y=f\left(x\right) \) in the xy-plane contains the point \( \left(r,\ s\right) \), where r and s are constants. If \( s=3 \), which of the following could be true?

Ⅰ.\( r<a \) 
Ⅱ.\( b<r<c \) 
Ⅲ.\( r>c \) 

The graph of \( y=f\left(x\right)+4 \) is shown. Which equation defines function \( f \) ？

The graph of \( y=f\left(x\right)+2 \) is shown. Which equation defines function \( f \) ?

The graph of \( y=f\left(x\right)+2 \)  is shown. Which equation defines function \( f \) ?

The graph of \( y=f\left(x\right)+2 \)  is shown. Which equation defines function \( f \) ?

The function f is defined by \( f\left(x\right)=-29^x \). 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 function \( f \) is defined by \( f(x)=-39^x \). The function g is a decreasing linear function. In the xy-plane, the graphs of \( y=f(x) \) and \( y=g(x) \)  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?

\( f(x)=\frac{a-18}{x}+6 \) 
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 9 units to the right to produce the graph of  \( y=g(x) \). Which equation defines function g?

The function g is defined by \( g\left(x\right)=-\frac{x}{4}+11 \). What is the x-intercept of the graph of \( y=g\left(x\right)+7 \)in the xy-plane?