Answer:
Step-by-step explanation:
g(x) = -f(x) -8
The function is multiplied by -1, which reflects it over the x-axis. -8 is added to each function value, which translates it down 8 units.
The transformations are reflection over y=0 and translation down 8 units.
_____
The original flattened-S shaped curve is reversed top-to-bottom and is moved down. Attached is the original (red) and the transformed function (blue).
Because this is an odd function, reversing it top-to-bottom has the same appearance as reversing it left-to-right.
Answer:
1.9 miles.
Step-by-step explanation:
John jogs 2 7/10 miles to the park. Marsha jogs 4/5 miles to the park.
Convert the fractions into decimals:
2 7/10 = 2.7
4/5 = 0.8
Subtract '0.8' from '2.7':
John should jog 1.9 miles farther than Marsha.
Hope this helps.
Answer:
B and E
Step-by-step explanation:
Given the rational expression
← factorise the denominator
2x² - 32 ← take out a common factor of 2 from each term
= 2(x² - 16) ← (x² - 16) is a difference of squares
= 2(x - 4)(x + 4)
The expression can now be written as
The denominator of the expression cannot be zero as this would make the expression undefined. Equating the denominator to zero and solving gives the values that x cannot be.
2(x - 4)(x + 4) = 0
Equate each factor to zero and solve for x
x - 4 = 0 ⇒ x = 4
x + 4 = 0 ⇒ x = - 4
These are the values of x that make the expression undefined.
x = 4 → B
x = - 4 → E