Question

Which equation is a quadratic equation?

Reference Sheet - Quadratic Equations

(1 point)
Responses

y=−4x+3
𝑦
=
−
4
𝑥
+
3
y is equal to negative 4 x plus 3

y=2x
𝑦
=
2
𝑥
y is equal to 2 to the x th power

y=6x3+4x−2
𝑦
=
6
𝑥
3
+
4
𝑥
−
2
y is equal to 6 x cubed plus 4 x minus 2

y=x2+6x+8

Answer 1

A quadratic equation is a polynomial equation of degree 2, which means it includes a term with \( x^2 \) and can be represented in the form \( ax^2 + bx + c = 0 \), where \( a \), \( b \), and \( c \) are constants and \( a \neq 0 \).

From the options you've provided, the quadratic equation is:

**y = x² + 6x + 8**

The other equations are:

1. **y = -4x + 3** (linear equation)
2. **y = 2x** (linear equation)
3. **y = 6x³ + 4x - 2** (cubic equation)

So, the correct response is **y = x² + 6x + 8**.