Maths-
SAT
Easy
Question
The graphs in the xy-plane of the following quadratic equations each have x-intercepts of -2 and 4. The graph of which equation has its vertex farthest from the x-axis
- y = - 7(x + 2) (x - 4)
- y = 5(x + 2)(x - 4)
The correct answer is: y = - 7(x + 2) (x - 4)
Given x- intercept = -2, 4
(x + 2) (x - 4)
Let y = p(x+2)(x - 4)
y = p(x2 – 2x - 8)
y’ = p(2x - 1) = 0
x = 
vertex is at x =
so, highest absolute value of p, higher will be the absolute value of y at vertex. From x-axis
From options
y = -7(x+ 2)(x - 4)
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