The standard form of a parabola's equation is y = ax^2 + bx + c. To convert the vertex form y = a(x - h)^2 + k to the standard form, you need to expand the equation.

Given the vertex form of the equation y = 3(x - 4)^2 - 22, let's expand it:

y = 3(x^2 - 8x + 16) - 22
y = 3x^2 - 24x + 48 - 22
y = 3x^2 - 24x + 26

So, the standard form of the equation is y = 3x^2 - 24x + 26.

Question

The standard form of a parabola's equation is y = ax^2 + bx + c. To convert the vertex form y = a(x - h)^2 + k to the standard form, you need to expand the equation.

Given the vertex form of the equation y = 3(x - 4)^2 - 22, let's expand it:

y = 3(x^2 - 8x + 16) - 22
y = 3x^2 - 24x + 48 - 22
y = 3x^2 - 24x + 26

So, the standard form of the equation is y = 3x^2 - 24x + 26.

Knowee AI · Accepted Answer

The standard form of a parabola's equation is y = ax^2 + bx + c. To convert the vertex form y = a(x - h)^2 + k to the standard form, you need to expand the equation.

Given the vertex form of the equation y = 3(x - 4)^2 - 22, let's expand it:

y = 3(x^2 - 8x + 16) - 22
y = 3x^2 - 24x + 48 - 22
y = 3x^2 - 24x + 26

So, the standard form of the equation is y = 3x^2 - 24x + 26.

The vertex form of the equation of a parabola is y = 3(x - 4)2 - 22.What is the standard form of the equation?

Question

The vertex form of the equation of a parabola is

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