If the pattern rule is x2 +6, imagine what the trend line for this pattern would look like (on a graph of course). What pattern rule would have a trend line at the same vertical intercept (y-intercept) but has a different steepness? Explain your thinking. PLEASE HELP ME.
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y = x^2 + 6 looks like this:
http://www.wolframalpha.com/input/?i=y+%3D+x%5E2+%2B+6
now let's look at
y = 3x^2 + 6 and y = (4/5)x^2 + 6 on the same grid
http://www.wolframalpha.com/input/?i=y+%3D+3x%5E2+%2B+6%2C+y%3D%284%2F5%29x%5E2+%2B+6
what do you think?
http://www.wolframalpha.com/input/?i=y+%3D+x%5E2+%2B+6
now let's look at
y = 3x^2 + 6 and y = (4/5)x^2 + 6 on the same grid
http://www.wolframalpha.com/input/?i=y+%3D+3x%5E2+%2B+6%2C+y%3D%284%2F5%29x%5E2+%2B+6
what do you think?
What pattern rule would have a trend line that starts at the same vertical intercept (y-intercept) but has a different steepness?