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9966 [12]
3 years ago
12

The function fx) x2 +5x- 6 is shifted 4 units to the left to create g(x). What is g(x)?

Mathematics
2 answers:
artcher [175]3 years ago
7 0
It's g(x) = (x+4)^2 + 5 (x+4) - 6
I apologize if my answer is incorrect.

vesna_86 [32]3 years ago
4 0
The answer is g(x) = x^2 + 13x + 30

You can get this is multiple ways. Firstly, you could factor to find the zeroes and then move the answers to the left and redistribute the parenthesis. 

You could also put the equation into vertex form and shift the number inside the parenthesis by 4. 

Either will give you the exact same answer. 
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Endpoints of segment MN have coordinates (0, 0), (5, 1). The endpoints of segment AB have coordinates (1 1/22 , 2 1/4 ) and (−2
Nana76 [90]

Answer: k=18\dfrac{8}{11}.

Step-by-step explanation:

If a line passing through two points, then

Slope=\dfrac{y_2-y_1}{x_2-x_1}

Endpoints of segment MN have coordinates (0, 0) and (5, 1).

Slope of MN =\dfrac{1-0}{5-0}=\dfrac{1}{5}

The endpoints of segment AB have coordinates \left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right) and  \left(-2\dfrac{1}{4} , k\right).

A=\left(1\dfrac{1}{22} , 2\dfrac{1}{4}\right)=\left(\dfrac{23}{22} ,\dfrac{9}{4}\right)

B=\left(-2\dfrac{1}{4} , k\right)=\left(-\dfrac{9}{4} , k\right).

Slope of AB =\dfrac{k-\frac{9}{4}}{-\frac{9}{4}-\dfrac{23}{22}}

=\dfrac{\frac{4k-9}{4}}{\frac{-99-46}{44}}

=\dfrac{4k-9}{4}\times \dfrac{44}{-145}

=4k-9\times \dfrac{11}{-145}

=\dfrac{44k-99}{-145}

Product of slopes of two perpendicular segments is -1.

Slope of MN × Slope of AB = -1

\dfrac{1}{5}\times \dfrac{44k-99}{-145}=-1

\dfrac{44k-99}{-725}=-1

44k-99=725

44k=725+99

k=\dfrac{824}{44}

k=\dfrac{206}{11}

k=18\dfrac{8}{11}

Therefore, the value of k is k=18\dfrac{8}{11}.

8 0
3 years ago
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Answer: point form (-1,-2)

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Step-by-step explanation:

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2 years ago
Every time Liliana bakes a batch of brownies,
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Answer:

Liliana can make two batches of brownies!

Step-by-step explanation:

12/8 is equal to 6/4, which is double 3/4.

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3 years ago
The initial population of a town in the year 2010 was 20 000. By 2014, the population had grown exponentially to 32 500 people.
stiv31 [10]

Answer:

  P = 20000×1.625^(n/4)

Step-by-step explanation:

An exponential equation can be written using the given data:

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Here, the growth is by a factor of 32500/20000 = 1.625, and the period is 4 years. Then your exponential equation is ...

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