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3 years ago

Which phrase best describes the translation from the graph y = (x - 5)2 + 7 to the graph of y = (x + 1)2 – 2?

Mathematics

2 answers:

Orlov [11]3 years ago

8 0

Answer:

6 left 9 down

Step-by-step explanation:

Edg 2020

zloy xaker [14]3 years ago

7 0

Answer:

6 units left and 9 units down

Step-by-step explanation:

we have that

$y=(x-5)^{2} +7$

This is a vertical parabola open upward

The vertex is the point (5,7)

$y=(x+1)^{2} -2$

This is a vertical parabola open upward

The vertex is the point (-1,-2)

The transformation of

(5,7) ------> (-1,-2)

has the following rule

(x,y) -----> (x-6,y-9)

That means ----> The translation is 6 units at left and 9 units down

You might be interested in

The mean annual tuition and fees for a sample of 15 private colleges was with a standard deviation of . A dotplot shows that it

Fudgin [204]

Answer:

Step-by-step explanation:

The question is incomplete. The complete question is:

The mean annual tuition and fees for a sample of 15 private colleges was $35,500 with a standard deviation of $6500. A dotplot shows that it is reasonable to assume that the population is approximately normal. You wish to test whether the mean tuition and fees for private colleges is different from $32,500. State the null and alternate hypotheses. A) H0: 4 = 32,500, H:4=35,500 C) H: 4 = 35,500, H7:35,500 B) H: 4 = 32,500, H : 4 # 32,500 D) H0:41 # 32,500, H : 4 = 32,500

Solution

We would set up the hypothesis test. This is a test of a single population mean since we are dealing with mean

For the null hypothesis,

H0: µ = 32500

For the alternative hypothesis,

Ha: µ ≠ 32500

This is a two tailed test.

Since the number of samples is small and the population standard deviation is not given, the distribution is a student's t.

Since n = 15,

Degrees of freedom, df = n - 1 = 15 - 1 = 14

t = (x - µ)/(s/√n)

Where

x = sample mean = 35500

µ = population mean = 32500

s = samples standard deviation = 6500

t = (35500 - 32500)/(6500/√15) = 1.79

We would determine the p value using the t test calculator. It becomes

p = 0.095

Assuming alpha = 0.05

Since alpha, 0.05 < than the p value, 0.095, then we would fail to reject the null hypothesis.

7 0

3 years ago

Write the equation of a line that is parallel to y=0.6x+3 and that passes through the point

a_sh-v [17]

A line parallel to y = 0.6x + 3 will be of the form:

$y = 0.6x + k$

where k is a constant.

It passes through (-3,-5)

Thus,

$y = 0.6x + k \\ \\ -5 = 0.6 \times (-3) + k \\ \\ -5 = -1.8 + k \\ \\k = -5 + 1.8 \\ \\ k = -3.2$

$\textbf{The equation is \: \: y = 0.6x - 3.2}$