找到你今天要练的题。

The function \( f\left(x\right)=\frac{7}{8}\left(x-5\right)^2+7 \)  predicts the speed \( f(x) \), in meters per second, of a bee flying \( x \) seconds after it takes off, where \( x \) > 0. Which of the following is the best interpretation of the vertex of the graph of y = \( f(x) \) in the xy-plane?

\( f\left(x\right)=\left(x-4\right)^2+6 \) 
What is the minimum value of the given function?

\( f\left(x\right)=\left(x-1\right)^2+7 \) 
What is the minimum value of the given function?

The function \( f \)  is a quadratic function. In the xy-plane, the graph of \( y=f\left(x\right) \)has a vertex at \( \left(1,\ 4\right) \)  and passes through the points \( \left(2,\ 27\right) \) and \( \left(-1,\ 96\right) \). What is the value of \( f\left(-2\right)-f\left(0\right) \)?

The function \( f \) is a quadratic function. In the xy-plane, the graph of\( y=f\left(x\right) \) has a vertex at \( \left(1,\ 6\right) \) and passes through the points \( \left(2,\ 40\right) \) and \( \left(-1,\ 142\right) \). What is the value of \( f\left(-2\right)-f\left(0\right) \) ?

The function \( f \) is a quadratic function. In the xy-plane, the graph of\( y=f\left(x\right) \) has a vertex at \( \left(1,\ 7\right) \)  and passes through the points \( \left(2,\ 53\right) \) and \( \left(-1,\ 191\right) \). What is the value of \( f\left(-2\right)-f\left(0\right) \)?

\( y=x^2-24x+36 \) 
The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

\( f\left(x\right)=3x^2+48x+193 \) 
The function \( g \) is defined by \( g\left(x\right)=f\left(x+7\right) \). What is the minimum value of \( g\left(x\right) \) ?

The function \( f(x)=\frac{1}{7}(x−6)^{2}+4 \)  gives a toy car's height above the ground \( f(x) \) , in inches, x seconds after it started moving on an elevated track, where \( 0\le x\le10 \). Which of the following is the best interpretation of the vertex of the graph of \( y=f(x) \)  in the xy-plane?

Function \( f \) is a quadratic function. The graph of \( y=f(x) \)  in the xy-plane has a vertex at (4, -6), contains the point (3, -8) , and has a y-intercept at  (0, a) . The graph of \( y=5·f(x) \) has a y-intercept at (0, b). What is the positive difference between a and b?

At what value of x does the graph of \( y=x^2+18x-23 \) reach its minimum in the xy-plane?

The function \( f(x)=\frac{1}{9}(x-6)^2+3 \)   gives a toy car’s height above the ground \( f(x) \), in inches, x seconds after it started moving on an elevated track, where \( 0\le x\le10 \). Which of the following is the best interpretation of the vertex of the graph of \( y=f(x) \) in the xy-plane?