The vertex form of the equation of a parabola is y=(x-5)2+16. what is the standard form of the equation

y = x² - 10x + 41

Step-by-step explanation:

The standard form of a quadratic is ax² + bx + c : a ≠ 0

Given

y = (x - 5)² + 16 ← expand (x - 5)²

 = x² - 10x + 25 + 16

 = x² - 10x + 41 ← in standard form

Step-by-step explanation:

The standard form of a quadratic function is:

You need to remember the square of a binomial:

Applying the above, you get:

Simplify the expression:

 Now you need to add the like terms.

THerefore, you get:

c.

step-by-step explanation:

because first you have to add the 4x, 9x, and the 7x together and you get 20x and then you add the last numbers up and you get 5and then you put the subtraction sign in there and that's how you get the answer.