Which equation is a quadratic equation? Reference Sheet - Quadratic Equation(1 point)

Question

Responses

y=4x2+7
𝑦
=
4
𝑥
2
+
7
y is equal to 4 x squared plus 7

y=4x
𝑦
=
4
𝑥
y is equal to 4 to the x th power

y=5x−3
𝑦
=
5
𝑥
−
3
y is equal to 5 x minus 3

y=2x3

Answer 1

A quadratic equation is defined as an equation of the form \( y = ax^2 + bx + c \), where \( a \), \( b \), and \( c \) are constants, and \( a \neq 0 \).

Among the given options, the equation that qualifies as a quadratic equation is:

y = 4x² + 7

The other options are not quadratic equations:

• \( y = 4x \) is linear.
• \( y = 5x - 3 \) is linear.
• \( y = 2x^3 \) is cubic.

Therefore, the correct choice is y = 4x² + 7.