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2 years ago

Perform the stated transformation on the parent function f(x) = x2

Mathematics

1 answer:

Morgarella [4.7K]2 years ago

6 0

Answer:

f(x) = -1 (x-9)^2

Step-by-step explanation:

To translate left or right, you must modify the x directly. As in (x-9). If you wanted to move it up or down you would do X^2 ± n, not directly modifying the x.

as well as, you are essentially making a new "zero" through this translation to (-9,0). i'm not sure if you're at that yet though.

as for the translation over the x axis.

when y is negative(or opposite), you have translated over the x-axis.

when x is negative(or opposite), you have translated over the y-axis.

Since you are doing the exponents, then the parenthesis, and then multiplying -1 last (by pemdas) you are ensuring that f(x), the output, or y, is always opposite or negative.

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What is the range of the function f(x) = 3x2 + 6x – 8?

oee [108]

f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range ={y|y ≥ -11}

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2 years ago

5. Daniel arrives at his campsite out of breath from his swim and jog. His sister tells him that he should have swam to the boat

frosja888 [35]

Answer:

hello your question is incomplete attached below is the complete question

answer :

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

Step-by-step explanation:

First determine the time it will take Daniel to reach the Boat and the jogging time

time = distance / rate

where distance can be calculated using this equation: sin 53° = 400 / x

hence x ( distance ) = 500 ft

rate = 150

therefore Time ( t ) to reach boat = 500 / 150 = 3.33 minutes

Time for jogging ( as calculated ) = 3.69 minutes

therefore total time taken by Daniel = 3.33 + 3.69 = 7.02 minutes

Finally determine if Daniel's sister is correct that he should have swam to the boat ramp and then jogged

lets assume Distance to swim = x ( according his sister )

determine the value of x = $\sqrt{400^2 + 1400^2 }$ therefore X = 1456.02 feet

∴

Total time to be taken if Daniel follows his sister's instruction = 1456.02 / 150 = 9.71 minutes

Daniels sister is not correct because the time that will be taken by Daniel will be greater than the initial total time taken by Daniel.

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2 years ago

A large pizza has 16 slices. You eat 4 pieces and 7 chicken wings. What proportion of the pizza did you eat?

ddd [48]

Answer:

4/16

Step-by-step explanation:

You ate 4 slice of the 16 slice pizza

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2 years ago

Daniel works at a nearby electronics store. He makes a commission of 15% on everything he sells. If he sells a laptop for $293.0

nata0808 [166]

$43.95 (293.00-15%=$43.95)

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2 years ago

Read 2 more answers

I need help for this table option

Angelina_Jolie [31]

Answer:

4.3 g

Step-by-step explanation:

An outlier is a data point that strays far from the average of the group.

The other data points are all close to 3.

See how 4.3 is way farther from 3 than all the rest?

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2 years ago