Select all of the following functions that are quadratic.
y = 2x2
3 = 2x2 – 8
y = –2 + 2x – 8
y + 3x = 2x2 – 8
y +3x2 = 2x + 3x2 – 8

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If the degree of the equation is two, then the result leads to the quadratic equation. The following equations are entitled to the quadratic equations.

  • [tex]\rm y = 2x^{2}[/tex]
  • [tex]\rm y= 2x^{2} -8[/tex]
  • [tex]y = 2x^{2} -3x -8\\[/tex]

What is a quadratic equation?

In the quadratic equation, the maximum power of the variable is 2. It consists of x², x, and the constant term.

Given

[tex]\rm 1.\ y =2 x^{2} \\2.\ y = 2x^{2} -8\\3.\ y = -2+2x-8\\4.\ y +3x = 2x^{2} -8\\5.\ y + 3x^{2} = 2x +3x^{2} -8[/tex]

If the power of x is 2, then it is said to be a quadratic equation.

1.

[tex]\rm y = 2x^{2}[/tex]

The above expression is a quadratic equation.

2.

[tex]\rm y= 2x^{2} -8[/tex]

The above expression is a quadratic equation.

3.

[tex]\rm y = 2x-10[/tex]

The above expression is not a quadratic equation.

4.

[tex]\begin{aligned} \rm y +3x &= 2x^{2} -8\\\rm y &= 2x^{2} -3x -8\\\end{aligned}[/tex]

The above expression is a quadratic equation.

5.

[tex]\begin{aligned} \rm y + 3x^{2} &= 2x +3x^{2} -8\\\rm y &= 2x-8\\\end{aligned}[/tex]

The above expression is not a quadratic equation.

Thus, the third and fifth are not quadratic equations and the first, second, and fourth are quadratic equations.

More about the Quadratic equation link is given below.

https://brainly.com/question/17177510