Question

Which of the following best describes the graph of f(x) = x2 - 7x + 10?

Minimum at (1.5, -12.25) with intercepts at (5, 0) and (-2, 0)

Minimum at (-1.5, -12.25) with intercepts at (-5, 0) and (2, 0)

Minimum at (-3.5, -2.25) with intercepts at (-5, 0) and (-2, 0)

Minimum at (3.5, -2.25) with intercepts at (5, 0) and (2, 0)

Answer 1

It's a parabola. Standard form is \[y=ax^2+bx+c\]and the vertex (aka the minimum, if the parabola opens upward, the maximum if opening downward) is found at \[x=-\frac{b}{2a}\] At the intercepts, \(y=0\). That's all you need to find the answer...