For this case we have that the main function is given by:
We apply the following transformations:
Vertical expansions:
To graph y = a * f (x)
If a> 1, the graph of y = f (x) is expanded vertically by a factor a.
For a = 5 we have:
Vertical translations:
Suppose that k> 0
To graph y = f (x) + k, move the graph of k units up.
For k = 5 we have:
Answer:
The graph of g (x) is the graph of f (x) stretched vertically by a factor of 5 and translated up 5 units.
Answer:
y = - (x - 1)² + 2
Step-by-step explanation:
Any point (x, y) on the parabola is equidistant from the focus and the directrix.
Using the distance formula
= | y - 6 |
Square both sides
(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )
(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )
(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )
(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )
16y = - (x - 1)² + 32 ( divide all terms by 16 )
y = - (x - 1)² + 2
Answer:
None of the numbers are Perfect Square.
Step-by-step explanation:
6, 10, 12, and 14 are not <u>Perfect Square</u>, because each number are multiplied by two different numbers: