Which function is a quadratic function?
p(x) = 2x(x2 + 6) + 1
m(x) = –4(x + 3) – 2
t(x) = –8x2(x2 – 6) + 1
h(x) = 3x(x – 2) – 4

h(x) = 3x(x – 2) – 4

Step-by-step explanation:

In a quadratic function, the greatest power of the variable is 2. To find out the greatest power, we need to write the function in a polynomial form.

p(x) = 2x(x^2 + 6) + 1 = 2x^3 + 12x + 1

The greatest power of x is 3, p(x) is not quadratic.

m(x) = -4(x+3) - 2 = -4x -12 - 2 = -4x - 14

The greatest power of x is 1, m(x) is not quadratic.

t(x) = –8x^2(x^2 – 6) + 1 = -8x^4 + 48x^2 + 1

The greatest power of x is 4, t(x) is not quadratic.

h(x) = 3x(x – 2) – 4 = 3x^2 - 6x - 4

The greatest power of x is 2, h(x) is quadratic.

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step-by-step explanation:

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