f(x) + n - translate the graph of f(x) n units up
f(x) - n - translate the graph of f(x) n units down
f(x + n) - translate the graph of f(x) n units left
f(x - n) - translate the graph of f(x) n units right
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We have
y = |x - 2|
f(x) = |x| → f(x - 2) = |x - 2|
<h3>Answer: c. Translate the graph of y = |x| two units right.</h3>
Answer:
x = -3
, y = 0
Step-by-step explanation:
Solve the following system:
{4 x - y = -12 | (equation 1)
-x - y = 3 | (equation 2)
Add 1/4 × (equation 1) to equation 2:
{4 x - y = -12 | (equation 1)
0 x - (5 y)/4 = 0 | (equation 2)
Multiply equation 2 by 4/5:
{4 x - y = -12 | (equation 1)
0 x - y = 0 | (equation 2)
Multiply equation 2 by -1:
{4 x - y = -12 | (equation 1)
0 x+y = 0 | (equation 2)
Add equation 2 to equation 1:
{4 x+0 y = -12 | (equation 1)
0 x+y = 0 | (equation 2)
Divide equation 1 by 4:
{x+0 y = -3 | (equation 1)
0 x+y = 0 | (equation 2)
Collect results:
Answer: {x = -3
, y = 0
It’s option D.) I did a quiz on this !
Answer:
f(8) = 65
Step-by-step explanation:
Find a pattern in the sequence. It might be an <u>arithmetic sequence</u> (always adds or subtract by a certain number), or a <u>geometric sequence</u> (always multiplies or divides by a certain number).
To find a pattern in this decreasing sequence, we find either the common difference or the common divisor of each pair of consecutive numbers.
• 100 - 95 = 5
• 95 - 90 = 5
• 90 - 85 = 5
• 85 - 80 = 5
• 80 - 75 = 5
Now, we know that this is an <u>arithmetic sequence</u>, and the common difference is <u>5</u>.
To calculate f(8), we find the 8th term in the sequence. We can do that by counting the terms in the sequence and using the common difference, 5, that we found, to continue the sequence.
• f(1) = 100
• f(2) = 95
• f(3) = 90
......
• f(7) = 70
• f(8) = 65
No slope
If you were to graph it the line would be straight across with no rise
