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3 years ago

What transformations take the parent function y = x² to y = -4( x - 7)²?

Mathematics

2 answers:

Marrrta [24]3 years ago

4 0

Answer:

Step-by-step explanation:

Let's look at the easy part: we see that the new equation has a negative at the front. A negative sign indicates a reflection. Since this negative sign is on the entire equation instead of just on the x, we know it's a vertical reflection; in other words, it's a reflection over the x axis.

Eliminate the choices that don't include reflection: A and C are gone.

We have B and D left. Now, look at the x - 7 part of the new equation. Here, we see that the graph has shifted horizontally either right or left. We know it's shifted right because of the negative sign. For horizontal transformations, things are a little backwards: - means right and + means left. So, eliminate B because that's wrong.

Thus, D is the answer.

Hope this helps!

madreJ [45]3 years ago

3 0

Answer:

x-axis reflection, vertical stretch by a factor of 4, horizontal shift right 7 units.

Step-by-step explanation:

y = x² to y = -4( x - 7)²

x² to (x-7)²

7 units towards right

4(x-7)²

Vertical stretch of factor 4

-4(x-7)²

Reflection in the x-axis

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in Marlas school 6/15 of the students do not ride the bus to school. of these students 5/9 walk to school. what fraction of the

Debora [2.8K]

Answer:

The fraction of the students that walk in in Marla's school is equal to $\frac{2}{9}$

Step-by-step explanation:

Let

x------> the total students in Marla's school

we know that

The number of students that not ride the bus is equal to

$\frac{6}{15}x\ students$

The number of students that walk to the school is equal to

$\frac{6}{15}x*\frac{5}{9}=\frac{2}{9}x\ students$

therefore

The fraction of the students that walk in in Marla's school is equal to $\frac{2}{9}$

4 0

4 years ago

Read 2 more answers

confirm or disprove ernest's work by selecting two different points and applying the slope formula. be sure to identify the poin

yan [13]

Answer:

Part a) Ernest's calculation was correct

Part b) Ernest's calculation was correct

Step-by-step explanation:

The picture of the question in the attached figure

The complete question is

Ernest calculated the slope of the graph during the uphill climb to be 10. His work is shown below.

Points: (60.900). (15, 450)

Slope : 900-450/60-15=450/45=10

Part a) Determine whether his calculation was correct or incorrect, and then explain why.

Part b) Confirm or disprove Ernest's work by selecting two different points and applying the slope formula. be sure to identify the points you chose

Part a)

we know that

The formula to calculate the slope between two points is equal to

$m=\frac{y2-y1}{x2-x1}$

we have the points

A(60,900),B(15,450)

Remember that

$m_A_B=m_B_A$

step 1

Find $m_A_B$

substitute in the formula

$m_A_B=\frac{450-900}{15-60}\\\\m_A_B=\frac{-450}{-45}=10$

step 2

Find $m_B_A$

substitute in the formula

$m_B_A=\frac{900-450}{60-15}\\\\m_B_A=\frac{450}{45}=10$

therefore

Ernest's calculation was correct, because $m_A_B=m_B_A$

Part b) selecting two different points

we take the points

(0,300) and (50,800) -----> see the attached figure

substitute in the formula of slope

$m=\frac{800-300}{50-0}$

$m=\frac{500}{50}$

$m=10$

therefore

Ernest's calculation was correct

8 0

3 years ago

Assume that the results of your class' statistics test are normally distributed. You know that you scored 1 standard deviation a

Gnom [1K]

Answer:

84%

Step-by-step explanation:

We have to remember that z-scores are values to find probabilities for any normal distribution using the standard normal distribution, a conversion of the normal distribution to find probabilities related to that distribution. One way to find the above z-scores is:

$\\ z = \frac{x - \mu}{\sigma}$

As a result, we can say that one standard deviation above the mean is equal to a z-score = 1, or that one standard deviation below the mean is equal to a z-score = -1, to take some examples.

The corresponding cumulative probability for a z-score = 1 (one standard deviation above the mean) can be obtained from the cumulative standard normal table, that is, the cumulative probabilities from z= -4 (four standard deviations below the mean) to the value corresponding to this z-score = 1.

Thus, for a z-score = 1, the cumulative standard normal table gives us a value of P(x<z=1) = 0.84134 or 84.134. In other words, below z = 1, there are 84.134% of cases below this value.

Applying this for the case in the question, the percentage of test scores below 69 (one standard deviation above the mean) is, thus, 84.134%, and rounding to the nearest whole number is simply 84%.

6 0

3 years ago

Please show work, help me please,

alexgriva [62]

Answer:

377

Step-by-step explanation:

f(x) = 3* 2^(x+2) -7

Let x=5

f(x) = 3* 2^(5+2) -7

Parentheses first

f(x) = 3* 2^(7) -7

Then exponents

f(x) = 3* 128 -7

Then multiply

f(x) = 384 -7

Then subtract

f(x) = 377

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3 years ago

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What is the y-intercept of the line? A. 1/2B. 1 C. -2 D. 0

irga5000 [103]

The answer is B 1

Because the line intercepts the y axis when y = 1

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1 year ago