Answer:
D
Step-by-step explanation:
From any point (x, y) on the parabola the focus and directrix are equidistant
Using the distance formula
= | y + 1 |
Squaring both sides
(x + 5)² + (y - 5)² = (y + 1)^2 , that is
(y + 1)² = (x + 5)² + (y - 5)² ← subtract (y - 5)² from both sides
(y + 1)² - (y - 5)² = (x + 5)² ← expand left side and simplify
y² + 2y + 1 - y² + 10y - 25 = (x + 5)²
12y - 24 = (x + 5)² ← factor left side
12(y - 2) = (x + 5)² ← divide both sides by 12
y - 2 = 
(x + 5)² ← add 2 to both sides
y = (x + 5)² + 2
or
f(x) = (x + 5)² + 2 → D
A function assigns the values. The range of the function will be between (-∞,10].
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
The given function f(x)=10-x² is a parabolic function that is negative, therefore, will open downwards. Now, the range of the function can be found as,
f(x)=10-x²
y=10-x²
y-10 = -x²
-y+10 = x²
-y + 10 = 0
y = 10
Thus, the range of the function will be between (-∞,10].
Learn more about Function:
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A) your money
hope this is right!
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Answer:
2
Step-by-step explanation:
You would use PEMDAS( parentheses exponents multiply adding subtracting) (1/2)4.
^
o.5×4
^
2
5m^2 x 2m = 10m^3
60cf/3f = 20cf^2
15c-5f/2 = Cannot be simplified further
