Given:
A table of values of a linear function.
To find:
The slope, y-intercept and equation of the function.
Solution:
Take any two points on the table.
Let the points are (-1, -3) and (0, -6).
Slope of the line:
m = -3
Slope of the function = -3
y-intercept of the function is the point where x = 0.
In the table y = -6 when x = 0
y-intercept = -6
Equation of a line:
y = mx + c
where m is the slope and c is the y-intercept
y = -3x + (-6)
y = -3x - 6
Equation of a function is y = -3x - 6.
Answer:
Function is shifted 1 unit left and 1 unit up.
Transformed function
Step-by-step explanation:
Given:
Red graph (Parent function):
Blue graph (Transformed function)
From the graph we can see that the red graph is shifted 1 units left and 1 units up.
Translation Rules:
If the function shifts
units to the left.
If the function shifts
units to the right.
If the function shifts
units to the up.
If the function shifts
units to the down.
Applying the rules to
The transformation statement is thus given by:
As function is shifted 1 unit left and 1 unit up.
Transformed function is given by:
Solution:
we are given that
In the image, shape ABCD is similar to shape WXYZ.
we have been asked to find the measure of side ZW.
As we know that when two shapes are similar then the ratios of their corresponding sides are equal.
So we can write
Hence ZW=4.5 Inches.