5272道题目5525 条题源记录 · 相同内容已合并
函数图象・平移与特征挑战
The graph of y = f (x)+ 3 is shown. Which equation defines function f ?
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函数图象・平移与特征进阶

The graph of \( y=f\left(x\right) \) is shown where \( f\left(x\right)=ax^3+bx^2+cx+d \) and a, b, c, and d are constants. For how many distinct values of x does \( f\left(x\right)=0 \) ?
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函数图象・平移与特征挑战
In the xy-plane, the graph of the equation \( y=6^x \) is translated 8 units down. What is an equation of the resulting graph?
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函数图象・平移与特征挑战
The function p is defined by \( p\left(x\right)=a\left(\left(x+6\right)^2-b\right)\left(\left(x+6\right)^2-c\right) \) , where a, b, and c are constants. In the xy-plane, the graph of \( y=p\left(x\right) \) passes through the points (\( −7 \), \( 24 \) )and (\( 0 \), \( 899 \)). What is the value of \( p(−12)+p(−5) \) ?
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函数图象・平移与特征挑战
The graph of the linear function y = f (x) + 13 is shown. If c and d are positive constants, which equation could define f?
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函数图象・平移与特征进阶

For line h, the table shows three values of x and their corresponding values of y. Line k is the result of translating line h down 4 units in the xy-plane. What is the x-intercept of line k?
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函数图象・平移与特征挑战
The function f is defined by \( f\left(x\right)=7x-135 \). If the point (k, 2k) lies on the graph of \( y=f\left(x\right) \) in the xy-plane, where k is a constant, what is the value of k?
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函数图象・平移与特征进阶
The graph of the function \( f \) is shown, where \( y=f\left(x\right) \).
Which of the following best describes the function \( f \)?
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函数图象・平移与特征进阶
The graph of \( y=f\left(x\right)-k \) is shown in the xy-plane. If k, a, and b are positive constants, which equation could define \( f \) ?
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函数图象・平移与特征进阶
The graph of the function \( f \) is shown, where \( y=f\left(x\right) \). What is the value of \( f\left(0\right) \)?
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函数图象・平移与特征进阶
The function \( f \) is defined by \( f\left(x\right)=3x^5 \). In the xy-plane, the graph of \( y=g\left(x\right) \) is the result of shifting the graph of \( y=f\left(x\right) \) up 9 units. Which equation defines the function g?
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函数图象・平移与特征进阶
The functions \( f \) and \( g \)are defined as \( f\left(x\right)=\frac{1}{5}x-9 \) and\( g\left(x\right)=\frac{4}{5}x+27 \). If the function \( h \) is defined as \( h\left(x\right)=f\left(x\right)+g\left(x\right) \), what is the x-intercept of the graph of \( y=h\left(x\right) \)in the xy-plane?
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