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caylus
Hello,

y=4(x-2)²-1
y=4(x²-4x+4)-1

y=4x²-16x+15

The standard form of the equation would be y = 4x² - 16x + 15.

What is the vertex form of a quadratic equation?

If a quadratic equation is written in the form

y=a(x-h)^2 + k

then it is called to be in vertex form.

It is called so because when you plot this equation's graph, you will see vertex point(peak point) is on (h,k)

This point (h,k) is called the vertex of the parabola that quadratic equation represents.

The vertex form of the equation of a parabola is given as;

y = 4(x-2)² - 1

y = 4(x²- 4x + 4) - 1

So, the standard form of the equation would be;

y = 4x² - 16x + 15

Learn more about vertex form of a quadratic equation here:

https://brainly.com/question/9912128

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