Question

which function is a quadratic function? a. y – 3x2 = 3(x2 5) 1 b. y2 – 7x = 2(x2 6) 7 c. y – 2x2 = 6(x3 5) – 4 d. y – 5x = 4(x 5) 9

Answer 1

Answer:

option:A

Step-by-step explanation:

A quadratic equation is a equation of the type $y=f(x)=ax^{2} +bx+c$

(a) $y-3x^{2} =3(x^{2}+5)+1\\\\y=3x^2+3(x^2+5)+1\\\\y=3x^2+3x^2+15+1\\\\y=6x^2+16$

Here on comparing the equation with $y=f(x)=ax^{2} +bx+c$ we have a=6,b=0 and c=16

hence, option A is correct.

Answer 2

For option a,
y - 3x^2 = 3(x^2 + 5) + 1
y = 3x^2 + 3x^2 + 15 + 1
y = 6x^2 + 16

Option a is a quadratic function.