When you reflect a function in the <em>x</em>-axis, the first coordinate of a point stays the same, and the second coordinate changes sign (what was positive is now negative and vice versa). See the attached picture.
Question 11: f(x) = -5x + 2. The function changes to its opposite, so g(x) = -(-5x + 2) = 5x - 2.
When you reflect a function in the <em>y</em>-axis, the first coordinate of a point changes to its opposite, but the second coordinate stays the same. Replace <em>x</em> with -<em>x</em> .
Question 14: f(x) = |2x - 1| + 3. Replacing <em>x</em> with -<em>x</em> produces g(x) = |2(-x) - 1| + 3 which simplifies to g(x) = |-2x -1| + 3.
Question 15 works the same way as #14.
Answer:
Step-by-step explanation:
Here we are given four equations and we have to find the equation that gives the number of half inches that are in inches.
To find how many half inches i.e. inches are there in
inches we have to divide
by
.
So, the equation that will give the result is (Answer)
Answer:
C
Step-by-step explanation:
Calculate the distance using the distance formula
d = √ (x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = E(- 2, 2) and (x₂, y₂ ) = F(4, - 6)
EF =
=
=
= = 10 → C
Step-by-step explanation:
There are no choices available, so here is a graph of that equation. Simply compare it to the answer.
