Help please and thank you: The graph of f x = x2 − 2x − 3 is shown. Which of these describes the effect changing f x to f −2x wi
1 answer:
Answer:
Option (C).
Step-by-step explanation:
Graphed function is,
f(x) = x² - 2x - 3
= x² - 2x + 1 - 1 - 3
= (x² - 2x + 1) - 4
= (x - 1)² - 4
f(-2x) = (-2x)² - 2(-2x) - 3
= 4x² + 4x - 3
= 4(x² + x) - 3
= 4[x² + 2(0.5)x + (0.5)²- (0.5)²] -3
= 4(x + 0.5)² - 1 - 3
= 4(x + 0.5)² - 4
= 4[(x - 1) + 1.5]² - 4
Therefore, parent function 'f' will be a horizontal shrink by 4 units and shifted 1.5 units to the left.
Option (C) will be the answer.
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D because each y value is obtained by multiplying x by -2
y = -2x which is direct variation.
In the attached, the dotted red graph is g(x). The solid black graph is the function shifted 5 units left.
Answer:
7..the way you worded the options was confusing
1/2X+4=X-4
1/2X+8=X
8=1/2X
16=X
(Pick one of the equations )
y=1/2X+4
y=(1/2)(16)+4
y=12
point: (16,12)
Answer:
13 4/5 = 10 + 3 4/5
Step-by-step explanation:
