Answer:
f(x) = 3(x − 8)(x + 2)
Step-by-step explanation:
The roots are at x = 8 and x = -2. This means factored form would include
y = (x-8)(x+2), with some number a as the leading coefficient.
Multiplying through, we have
y = x²+2x-8x-16
y = x²-6x-16
To have a y-intercept at -48, this means we multiply the function by 3; this gives us
y = 3(x-8)(x+2)
By solving given parameters we get y = 3x²-18x-48. Therefore, option C is the correct answer.
x-intercepts at (8, 0) and (−2, 0) and a y-intercept at (0, −48).
The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis.
The roots are at x = 8 and x = -2.
so, y = (x-8)(x+2)
⇒y = x²+2x-8x-16
⇒y = x²-6x-16
To get a y-intercept at -48, means we multiply the function by 3; this gives us y = 3x²-18x-48.
Therefore, option C is the correct answer.
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