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 = 3x^2 - 6x - 4 is a quadratic function.

h(x) = 3x(x – 2) – 4

Step-by-step explanation:

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

Multiply 2x inside the parenthesis

p(x)= 2x^3 +12x (It is a cubic function)

m(x) = –4(x + 3) – 2

Multiply -4 inside the parenthesis

m(x)= -4x -12 -2 (It is a linear function)

t(x) = –8x^2(x^2 – 6) + 1

multiply -8x^2 inside the parenthesis

t(x)= -8x^4 +48x^2 +1 (Its is not quadratic because highest exponent is x^4)

h(x) = 3x(x – 2) – 4

Multiply 3x inside the parenthesis

h(x)= 3x^2 -6x -4 (It is a quadratic function because highest exponent is x^2)

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)