Answer:
see explanation
Step-by-step explanation:
The vertex of f(x) = x² is at (0, 0)
To find the vertex of g(x) = x² - 8x + 7 ← in standard form
The x- coordinate of the vertex is
[tex]x_{vertex}[/tex] = - [tex]\frac{b}{2a}[/tex]
where a = 1 and b = - 8
[tex]x_{vertex}[/tex] = - [tex]\frac{-8}{2}[/tex] = 4
substitute x = 4 into the equation for corresponding y- coordinate
y = 4² - 8(4) + 7 = 16 - 32 + 7 = - 9
The vertex of g(x) is at (4, - 9)
thus (0, 0) → (4, - 9) is 4 units right and 9 units down → option C
