You are to graph <span>y = |1.6x – 2| – 3.2. I trust you know that the graph of y=|x| is v-shaped, opening up, with vertex at (0,0).
Let's rewrite </span><span>y = |1.6x – 2| – 3.2 by factoring 1.6 out of |1.6x - 2|:
</span><span>y = 1.6*|x – 2/1.6| – 3.2
This tells us that the vertex of </span><span>y = |1.6x – 2| – 3.2 is at (2/1.6, -3.2). If you need an explanation of why this is, please ask.
Plot the vertex at (1.25, -3.2).
Find the y-intercept: Let x = 0 in </span><span>y = |1.6x – 2| – 3.2 and find y:
y = 2-3.2 = -1.2
The y-intercept is located at 0, -1.2)
Plot this y-intercept.
Now draw a straight line from the vertex to this y-intercept. Reflect that line across the y-axis to obtain the other half of the graph.</span>
Answer:
A.
Step-by-step explanation:
The solutions to f(x) = 64 is x = 7 and x = –7.
Solution:
Given data:
– – – – (1)
– – – – (2)
To find the solutions to f(x) = 64.
Equate equation (1) and (2), we get
Subtract 15 from both sides of the equation.
Taking square root on both sides of the equation, we get
x = ±7
The solutions to f(x) = 64 is x = 7 and x = –7.
Answer:
A.
Step-by-step explanation:
for (10,5)
5 - 5 = 2(10 - 10) = 0
for (4,-7)
-7 - 5 = 2(4 - 10) = -12
