Question

Which of the following is a quadratic function?

Answer 1

Quadratic functions are typically represented in standard form, ax^2+bx+c, or in vertex form, f(x)=a(x-h)^2+k, (h being the horizontal placement and k being vertical placement. Since y=(x-5)^2 is written in vertex form, the answer is B.

Another thing to note is that a quadratic function looks like a parabola. All of the given functions are graphed on the graph below. Since the blue line is the only one that looks like a parabola, the answer is B.

Note: The red line is y=4(x+3), the blue line is y=(x-5)^2, the green line is y=3x, and the purple line is y=-2/x^2+1.

Answer 2

The option which is a quadratic equation is: B. $y = (x - 5)^2$

A quadratic equation is a mathematical expression that one of its variables to the degree of 2 and as such has two roots.

In Mathematics, the standard form of a quadratic equation is given by;

$ax^2 + bx + c = 0$

Simplifying the mathematical expression, we have;

$y = (x - 5)^2\\\\y = (x - 5)(x - 5)\\\\y = x^2 - 5x - 5x + 25\\\\y = x^2 - 10x + 25$

From the above, we can deduce that the answer option whose variable has a degree of 2 is option B.

Therefore, it is a quadratic equation.

Read more: https://brainly.com/question/21050383