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y = x² - 14x + 22

The given equation relates the variables x and y. For what value of x does the value of y reach its minimum?

 f(x) = (x -14)(x +19)

The function f is defined by the given equation. For what value of x does f(x) reach its minimum?

The function \( f\left(x\right)=\frac{1}{9}\left(x-7\right)^2+3 \)  gives a metal ball's height above the ground \( f(x) \), in inches, x seconds after it started moving on a 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?

When the quadratic function f is graphed in the xy-plane, where y = f(x) , its vertex is (-3 , 6). One of the x-intercepts of this graph is \( \left(-\frac{17}{4},\ 0\right) \) . What is the other x-intercept of the graph?

The function f is defined by  f(x) =(x + 3)(x + 1). The graph of f in the xy-plane is a parabola. Which of the following intervals contains the x-coordinate of the vertex of the graph of f ?

f(x) = 4x² - 50x + 126
The given equation defines the function f. For what value of x does f(x) reach its minimum?

 f(x) = (x + 7)² +4

The function f is defined by the given equation. For what value of x does  f(x) reach its minimum?

f(x) = (x -10)(x +13)

The function f is defined by the given equation. For what value of x does f(x)  reach its minimum?

What is the minimum value of the function f defined by f(x) = (x -2)² -4 ?

f(x) =(x +7)² +4
The function f  is defined by the given equation. For what value of x does f(x) reach its minimum?

\( p\left(x\right)+57=x^2 \) 
The given equation relates the value of x and its corresponding value of p(x) for the function p. What is the minimum value of the function p?

g(x)=x²+55
What is the minimum value of the given function?