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4 years ago

Find the equation of quadratic function determined from the graph below?

Mathematics

1 answer:

Aleksandr [31]4 years ago

3 0

Step-by-step explanation:

The x-intercepts are x = -1 and x = 5, so:

y = k (x + 1) (x − 5)

The vertex is (2, -3), so:

-3 = k (2 + 1) (2 − 5)

-3 = -9k

k = 1/3

y = 1/3 (x + 1) (x − 5)

Simplifying:

y = 1/3 (x² − 4x − 5)

y = 1/3 x² − 4/3 x − 5/3

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Determine the period of this function

Salsk061 [2.6K]

<h3>Answer: C) 6</h3>

Explanation:

The function is somewhat sinusoidal but not entirely. Its composed of piecewise line segments when we should have a single continuous smooth curve; however, it's still periodic since it repeats itself.

Let's start at the top at the left most corner. This point has x coordinate of x = 1.

The other endpoint of this top left flat portion is when x = 2. Then the function curve goes downhill until it reaches x = 4. From x = 4 to x = 5, we're at the flat bottom part. From x = 5 to x = 7 is when the function increases.

Once we get to x = 7, the process described earlier starts all over again. So this is when the cycle ends and the length of the period is 7-1 = 6 units. The function repeats itself every 6 units, or you can say the length of each cycle is 6 time units (eg: 6 seconds).

5 0

3 years ago

8+40 divided 8(4x9) Helpppppooop

GrogVix [38]

9,111111111111111 your welcome

7 0

1 year ago

Read 2 more answers

Which direction would the graph of y=|x+5|-1 open? a. down b.up c.right d.left

amm1812

The answer fam is.......... "b.up"

3 0

3 years ago

Use the function below to find F(4) F(x) = 5 * (1/3) ^ x

Inessa05 [86]

The answer for the function F(4) = 5/81

Step-by-step explanation:

The given function is F(x) = 5 * (1/3) ^ x

step 1 :

The x value is given as the input to get the output from F(x)

step 2 :

Here, F(4) means that the x value is x=4

step 3 :

Now, substitute x=4 in the given function F(x)

F(4) = 5 (1/3)^4

=5 (1/81)

F(4) = 5/81

7 0

4 years ago

Explain how you could find the measurements of an enlargement if you know the ratio of the measurements of the original to the m

lord [1]

Answer:

showing bellow

Step-by-step explanation:

Let me use an exsample to show this.

Nash is making a framed enlargement of a Mary Cassatt postage stamp to present to a retired postmaster. He enlarges the stamp using a scale of 2 inches to 1 centimeter. If the actual length of the stamp is 3 centimeters and its width is 5 centimeters, what are the dimensions of the scale picture?

6 inches by 10 inches

Step-by-step explanation:

It tells us that the scale is 2 In: 1 cm so we know that for every centimeter long or wide the stamp is the enlardged scale is two inches.

2 times 3 is 6. 6 inches. we are multiplying two inches by the number of centimeter long it is.

5 times 2 is 10 inches. we are multiplying two inches by the number of centimeter wide it is.

therefore the enlarged stamp is 6 In by 10 In.

Hope this helps :)

4 0

3 years ago