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33 votes
HELP! which label goes the correct place ?

HELP! which label goes the correct place ?-example-1
User Alexander Clark
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2 Answers

19 votes
19 votes

Answer:

Explanation:

Hey there! I hope this helps:

If you have a graphing calculator, go to y=, then enter, and plug each equation in then graph. The graph should show you which equation belongs to which line. You can search "graphing calculator" and plug the equation in and it'll graph it for you

User Glenn Snyder
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3.0k points
21 votes
21 votes

9514 1404 393

Answer:

clockwise from top left, coefficients are ... 5, 1, 1/3, -5, -1, -1/3

Explanation:

In the form ...

y = ax²

the coefficient 'a' is a vertical scale factor. When it is greater than 1, the parent function is vertically stretched, so it gets farther away from the x-axis for smaller values of x. (Parabola closest to the y-axis.)

The 'a' is less than 1, the parent function is vertically compressed, so the graph stays closer to the x-axis for larger values of x. (Parabola farthest from the y-axis.)

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To answer this correctly, you only need to look to see if the coefficient is more than 1, equal to 1, or less than 1. If it is negative, the curve opens downward. Otherwise the vertical scaling is the same.

It looks like you're given coefficients of ±5, ±1, ±1/3. The negative coefficients apply to the graphs at the bottom of the figure. The positive ones apply to the top. Working to the left from the extreme right, the graphs are compressed (a=1/3), unaffected (a=1), and stretched (a=5).

User Matt Freake
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3.0k points