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Ilya [14]
3 years ago
9

Transform the given quadratic function into vertex form f(x) = quadratic function into vertex form f(x) = quadratic function int

o vertex form f(x) =  (x-h)^{2} + k by completing the square. a(x-h)^{2} +k by completing the square.
f(x) = x^{2} +x-7
Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

Vertex form: f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}

The vertex is (-\frac{1}{2},-\frac{29}{4})

Step-by-step explanation:

For a general quadratic function the form is:

ax ^ 2 + bx + c

For the function

f(x) = x ^ 2+ x -7

The values of the coefficients for the function are the following: a = 1, b =1, c = -7

Take the value of b and divide it by 2. Then, the result obtained squares it.

\frac{b}{2}= \frac{1}{2}

(\frac{b}{2})^2=(\frac{1}{2})^2=\frac{1}{4}

Add and subtract \frac{1}{4}

f(x) = (x ^ 2 +x +\frac{1}{4}) -\frac{1}{4}- 7

Write the expression of the form

f(x) = (x+\frac{b}{2})^2 +k

f(x) =(x +\frac{1}{2})^2 -\frac{29}{4}

The vertex is (h, k)

The vertex is: (-\frac{1}{2},-\frac{29}{4})

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van someone please help me with this i dont need an explaination i just need a. b. c. or d. please and thank you
Talja [164]

Answer:

option C

f(x)=-\sqrt{x+3}+8

Step-by-step explanation:

we have

f(x)=-2\sqrt{x-3}+8

using a graphing tool

see the attached figure N1

The range is the interval--------> (-∞,8]

y\leq 8

case A) f(x)=\sqrt{x-3}-8

using a graphing tool

The range is the interval--------> [-8,∞)

y\geq -8

case B) f(x)=\sqrt{x-3}+8

using a graphing tool

The range is the interval--------> [8,∞)

y\geq 8

case C) f(x)=-\sqrt{x+3}+8

using a graphing tool

The range is the interval--------> (-∞,8]

y\leq 8

case D) f(x)=-\sqrt{x-3}-8

using a graphing tool

The range is the interval--------> (-∞,-8]

y\leq -8

5 0
3 years ago
An efficiency consultant determines that on the assembly line at Stihl Inc., there is a strong, negative, linear relationship be
nikklg [1K]

Answer:

The correct option is B.

Step-by-step explanation:

It is given that there is a strong, negative, linear relationship between x and y. where, x is the number of consecutive hours a worker has been assembling chainsaws and y is the number of chainsaws he can produce in an hour.

He finds that 70%of the variation in chainsaws produced per hour can be explained by the regression of y on x.

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The slope is -0.7, therefore option B is correct.

8 0
3 years ago
Eight less than four times a number is the same as 13 more than the number. What is the number?
Bas_tet [7]
4n - 8 = n + 13
4n - n = 13 + 8
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monitta

answer:

23 and 32 are not symmetrical primes because they are not prime numbers


4 0
3 years ago
Read 2 more answers
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