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What is the y-intercept of the graph of the equation y = 2|4
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02 Feb 2020, 13:38
02 Feb 2020, 13:38
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80% (00:28) correct
20% (00:38) wrong based on 35 sessions
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Re: What is the y-intercept of the graph of the equation y = 2|4
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02 Feb 2020, 20:02
02 Feb 2020, 20:02
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To find the value of y-intercept, we need to put x = 0
y = 2|4x – 4| – 10
y = 2|\(4 \times 0\) – 4| – 10
y = 2|– 4| – 10
y = 8 – 10 = -2
The y-intercept is -2
y = 2|4x – 4| – 10
y = 2|\(4 \times 0\) – 4| – 10
y = 2|– 4| – 10
y = 8 – 10 = -2
The y-intercept is -2
huda wrote:
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Re: What is the y-intercept of the graph of the equation y = 2|4
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03 Feb 2020, 10:30
03 Feb 2020, 10:30
huda wrote:
Key concept: The y-intercept occurs at the point on the graph where x = 0
So our job is to determine the y-coordinate that corresponds to the x-coordinate where x = 0
Take: y = 2|4x – 4| – 10
Plug-in x = 0 to get: y = 2|4(0) – 4| – 10
Simplify: y = 2|0 – 4| – 10
Simplify: y = 2|–4| – 10
Simplify: y = 2(4) – 10 = 8 - 10 = -2
So, the point (0, -2) is a point ON the graph of y = 2|4x – 4| – 10
So, the y-intercept is -2
Answer: -2
Cheers,
Brent
