Answer:
f(-x) is a reflection of f(x) in the y-axis
Step-by-step explanation:
–f (x) reflects the function in the x-axis (that is, upside-down). f (–x) reflects the function in the y-axis (that is, swapping the left and right sides).
Answer:
The images of the question are missing, I found a matching question and image online, and it is in the attachments.
Answer:
The scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Step-by-step explanation:
From the image, the right triangle on the left has the following dimensions:
Hypotenuse = 10
length of one side = 10
While the right triangle on the right has the following:
Hypotenuse = 20
Length of one side = 20
From the dimensions above it can be seen that the triangle on the right has a dimension of 2 times the triangle on the left:
Left (10) × 2 = right (20)
Therefore the scale factor of the triangles from the left to the right is 2
or
The scale factor of the triangles from the right to the left is 1/2
Answer:
A
Step-by-step explanation:
Perpendicular bisector of a line divides the line into 2 equal parts and it is perpendicular to the line.
First let's find the midpoint of CD. The point is where the perpendicular bisector will cut through the line.
midpoint= 
Thus, midpoint of CD

Gradient of line CD

The product of the gradients of perpendicular lines is -1.
gradient if perpendicular bisector(1)= -1
gradient of perpendicular bisector= -1
y=mx +c, where m is the gradient and c is the y-intercept.
y= -x +c
Subst a coordinate to find c.
<em>Since the perpendicular bisector passes through the point (8, -10):</em>
When x=8, y= -10,
-10= -8 +c
c= -10 +8
c= -2
Thus, the equation of the perpendicular bisector is y= -x -2.
Answer:
.
Step-by-step explanation: