How do you write the quadratic function in standard form $y = 4 {(x - 1)}^{2} + 5$ $y=4(x-1)^2+5$ ?

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How do you write the quadratic function in standard form $y = 4 {(x - 1)}^{2} + 5$ $y=4(x-1)^2+5$ ?

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Answer 1 · 2017-06-25T06:21:09

$y = 4 x^{2} - 8 x + 6$ $y=4x^2-8x+6$

Explanation:

$y = 4 {(x - 1)}^{2} + 5$ $y=4(x-1)^2+5$ This is Vertex form.

Expand & simplify
$y = 4 \cdot (x - 1) (x - 1) + 5$ $y=4\cdot(x-1)(x-1)+5$
$y = 4 \cdot (x^{2} - 2 x + 1) + 5$ $y=4\cdot(x^2-2x+1)+5$
$y = 4 x^{2} - 8 x + 4 + 5$ $y=4x^2-8x+4+5$
$y = 4 x^{2} - 8 x + 9$ $y=4x^2-8x+9$ This is Standard form.

Answer 2 · 2017-06-25T06:32:26

$y = 4 x^{2} - 8 x + 9$ $y=4x^2-8x+9$

Explanation:

$the equation of a parabola in standard form$ $"the equation of a parabola in "color(blue)"standard form"$ is.

$color(red)(bar(ul(|color(white)(2/2)color(black)(y=ax^2+bx+c ; a!=0)color(white)(2/2)|)))$

$"expand " (x-1)^2" using FOIL"$

$y=4(x^2-2x+1)+5$

$color(white)(y)=4x^2-8x+4+5$

$color(white)(y)=4x^2-8x+9larrcolor(red)" in standard form"$

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How do you write the quadratic function in standard form $y = 4 {(x - 1)}^{2} + 5$ $y=4(x-1)^2+5$ ?

2 Answers

Explanation:

Explanation:

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Science

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How do you write the quadratic function in standard form y=4(x-1)^2+5y=4(x−1)2+5y=4(x-1)^2+5?

2 Answers

Explanation:

Explanation:

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How do you write the quadratic function in standard form $y = 4 {(x - 1)}^{2} + 5$ $y=4(x-1)^2+5$ ?