Answer:
See below
Step-by-step explanation:
<u>Parent function:</u>
<u>Transformed function:</u>
- y = 4(3)⁻²ˣ⁺⁸ + 6, (note. I see this as 8, sorry if different but it doesn't make any change to transformation method)
<u>Transformations to be applied:</u>
- f(x) → f(-x) reflection over y-axis
- f(-x) → f(-2x) stretch horizontally by a factor of 2
- f(-2x) → f(-2x + 8) translate 8 units right
- f(-2x + 8) → 4f(-2x + 8) stretch vertically by a factor of 4
- 4f(-2x + 8) → 4f(-2x + 8) + 6 translate 6 units up
Answer:
The matched options to the given problem is below:
Step1: Choose a point on the parabola
Step2: Find the distance from the focus to the point on the parabola.
Step3: Use (x, y).
Find the distance from the point on the parabola to the directrix.
Step4: Set the distance from focus to the point equal to the distance from directrix to the point.
Step5: Square both sides and simplify.
Step6: Write the equation of the parabola.
Step by step Explanation:
Given that the focus (-1,2) and directrix x=5
To find the equation of the parabola:
By using focus directrix property of parabola
Let S be a point and d be line
focus (-1,2) and directrix x=5 respectively
If P is any point on the parabola then p is equidistant from S and d
Focus S=(-1,2), d:x-5=0]
Answer:
In Option A, we can see that the reverse may not be true as the increase in the risk for lung cancer may not necessarily mean an increase in cigarette smoked in a day. For example, high risk of lung cancer may be due to high exposure to asbestos dust too.
In Option B, again we can see that the reverse may not be true as an increase in the height of an infant does not necessarily mean that the age of the infant is increasing too. For example the infant may have a rapid gain in height even if the age is not increasing as rapidly.
In Option C, too, that an increase in the amount of pollution in a city does necessarily mean that the number of vehicles in the city has increased. For example, this increase in pollution may be due to the establishment of a high pollution causing industry in the city or in it's vicinity.
Likewise, in Option D, an increase in the density of water does not necessarily mean that the concentration of salt in the water has increased.
Only in Option E do we see a possible reverse dependence happening because an increase in the phone bill amount does usually mean an increase in the number of calls made by the cell phone.
So, in the given list of Options only in Option E can we reverse the dependent and independent variables while keeping the interpretation of the slope meaningful.
Step-by-step explanation:
Answer:
the answer is 484
Step-by-step explanation:
volume of the pyramid = (11×11×12) ÷3 =484
A. 1690.
You can get this answer by doing 13 to the power of 2 and then multiplying that answer by 10.
