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\(f(x)=5x^2+3x-2\)
Which of the following equations represents the function \(f(x)+6\)?
The graph of \(f(x)\) is shown above. Which of the following equations could represent a function where \(f(x)\) has been shifted horizontally 3 units to the right?
\(f(x)=3x^2-18x+7\)
The function \(g\) is defined by \(g(x)=f(x-3)\). For what value of \(x\) does \(g(x)\) reach its minimum?
Function \(h(x)\) is defined by \(h(x)=(x-3)(x+2)(x-1)\). Function \(k(x)\) is defined by \(k(x)=h(x+2)\). The graph of \(y=k(x)\) in the xy-plane has x-intercepts at \((a,0)\), \((b,0)\), and \((c,0)\), where a, b, and c are distinct constants. What is the value of \(a+b+c\)?
\(f(x)=16{(2)}^x\)
The function f is defined by the given equation. If \(g(x)=f(x-3)\), which of the following equations defines the function g?
The equation \({(x-3)}^2+{(y+1)}^2=49\) represents the circle A. Circle B is obtained by shifting Circle A to the right 5 units in the xy-plane. Which of the following equations represents circle B?