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Complete the square to re-write the quadratic function in vertex form:

y=x^(2)+2x+10
Answer:
y=

Complete the square to re-write the quadratic function in vertex form: $\newline$ $y=x^{2}+2 x+10$ $\newline$ Answer: $y=$

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Csc, sec, and cot of special angles

Full solution

Q. Complete the square to re-write the quadratic function in vertex form:

\newline

y=x^{2}+2 x+10

\newline

Answer:

y=

Find Half and Square: To complete the square, we need to find a value that, when added and subtracted to the quadratic expression $x^2 + 2x$ , creates a perfect square trinomial. $\newline$ The coefficient of $x$ is $2$ , so we take half of it, which is $1$ , and then square it to get $1^2 = 1$ .
Add/Subtract to Complete Square: We add and subtract this value inside the quadratic expression to complete the square, while keeping the equation balanced. $\newline$ $y = x^2 + 2x + 1 - 1 + 10$
Group and Combine Constants: Now we group the perfect square trinomial and combine the constants. $\newline$ $y = (x^2 + 2x + 1) - 1 + 10$
Factor Perfect Square Trinomial: The perfect square trinomial $x^2 + 2x + 1$ can be factored into $(x + 1)^2$ . $\newline$ y = $(x + 1)^2 - 1 + 10$
Combine Final Constants: Finally, we combine the constants $-1$ and $10$ to get $9$ . $\newline$ $y = (x + 1)^2 + 9$ $\newline$ This is the vertex form of the quadratic function.

More problems from Csc, sec, and cot of special angles

Question

Find all solutions with

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. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.

\newline

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\newline

\underline{\hspace{2em}}^\circ

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Question

Kimi's school is

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Question

Evaluate. Write your answer as an integer or as a decimal rounded to the nearest hundredth.

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Question

Find all solutions with

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. Give the exact answer(s) in simplest form. If there are multiple answers, separate them with commas.

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\newline

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Question

Evaluate. Write your answer in simplified, rationalized form. Do not round.

\newline

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Question

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Question

-90^\circ < \theta < 90^\circ

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\newline

Write your answer in simplified, rationalized form. Do not round.

\newline

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Question

\theta

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\sec(\theta) = \sqrt{2}

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\theta =

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Question

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Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant