All categories

3 years ago

Given h(x)=5(x-6)^2+2 what transformations were done compared to the parent function f(x)=x^2?

Mathematics

1 answer:

Nataly [62]3 years ago

4 0

Answer:

1. Translation 6 units to the right.

2. Stretch by a factor 5.

3. Translation 2 units up.

Step-by-step explanation:

Consider parent function $f(x)=x^2.$

1. Translate the graph of the function 6 units to the right. Then you get the function $f_1(x)=(x-6)^2.$

2. Stretch the graph of the function $f_1(x)=(x-6)^2$ by a factor 5 and get the function $f_2(x)=5(x-6)^2.$

3. Translate the graph of the function $f_2(x)=5(x-6)^2$ 2 units up to fet the function $h(x)=5(x-6)^2+2.$

You might be interested in

Ali finished his history assignment in 1/4

Lina20 [59]

Hello there!

For this you simply need to give both fractions a common denominator!

The easiest way to do this specific problem would be to make the denominator 12. Why 12? Because 4 x 3 = 12.

So:

1/4 --> ?/12 --> 1 (3) / 12 --> 3/12

2/3 --> ?/12 --> 2 (4) / 12 --> 8/12

Total amount of time means the sum (adding them together).

When adding fractions, you MUST have a common denominator! (Which is what we just did).

So 3/12 + 8/12 = (8+3) / 12 = 11/12 hours

Notice how the denominator stayed the same? When adding/subtracting fractions, the denominator stays the same! :)

Hope this helped!

-------------------------------

DISCLAIMER: I am not a professional tutor or have any professional background in your subject. Please do not copy my work down, as that will only make things harder for you in the long run. Take the time to really understand this, and it'll make future problems easier. I am human, and may make mistakes, despite my best efforts. Again, I possess no professional background in your subject, so anything you do with my help will be your responsibility. Thank you for reading this, and have a wonderful day/night!

4 0

3 years ago

Indicate whether the lines are parallel, perpendicular, or neither.

Diano4ka-milaya [45]

Answer:

Perpendicular

Step-by-step explanation:

6 0

3 years ago

Determine the graph of the polar equation r =6/2-2cos theta<br> (picture provided)

vredina [299]

Answer:

Choice D is correct

Step-by-step explanation:

The first step is to write the polar equation of the conic section in standard form by dividing both the numerator and the denominator by 2;

$r=\frac{3}{1-cos(theta)}$

The eccentricity of this conic section is thus 1, the coefficient of cos θ. Thus, this conic section is a parabola since its eccentricity is 1.

The value of the directrix is determined as;

d = k/e = 3/1 = 3

The denominator of the polar equation of this conic section contains (-cos θ) which implies that this parabola opens towards the right and thus the equation of its directrix is;

x = -3

Thus, the polar equation represents a parabola that opens towards the right with a directrix located at x = -3. Choice D fits this criteria

5 0

3 years ago

What is the store paid $75 for a clarinet and sold it for $100 did the store mark up the price by 30% what the answer

nevsk [136]

Answer:

Mark up = 33.33%

Step-by-step explanation:

Given that:

buying price = $75

selling price = $100

First we will find the difference between two prices:

Difference = 100 - 75 = $25

We will find now that 25 is what percent of 75 so:

=25/75* 100

= 0.333333 * 100

= 33.33%

So the store marked the price by 33.33% instead of 30%

i hope it will help you!

3 0

3 years ago

9.8j - 6 = 36<br> solve the equation, round to the nearest hundredth

Lady_Fox [76]

Answer:

j = 4.29

Step-by-step explanation:

9.8j - 6 = 36

+ 6 +6

9.8j = 42

9.8j/9.8 = 42/9.8

j = 4.29

3 0

2 years ago

Read 2 more answers