Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?(-4, 0)(-2, 0)(0, 2)(4, -2)
B (-2, 0)
An x-intercept of a quadratic function is a point on the x-axis where the graph of the function intersects the x-axis, which means that the value of y is equal to zero.
To find the x-intercepts of the quadratic function f(x) = (x – 4)(x + 2), we need to set y equal to zero and solve for x:
0 = (x – 4)(x + 2)
This equation can be solved by using the zero-product property, which states that if the product of two factors is equal to zero, then at least one of the factors must be equal to zero. So, we can set each factor equal to zero and solve for x:
x – 4 = 0 or x + 2 = 0
x = 4 or x = -2
Therefore, the x-intercepts of the quadratic function f(x) = (x – 4)(x + 2) are (-2, 0) and (4, 0).
Hence, the answer is (-2, 0) and (4, 0).
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