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The equation y = (x - c)^2 defines a family of parabola, one parabola for each value of c. On the set of coordinate axes, graph the members of the family for c = 0, c = 3, and c = -2.
Let me see.
In other words, I am to graph the following parabolas:
y = (x - 0)^2
y = (x - 3)^3
y = (x -(-2))^2 = (x + 2)^2
Correct?
If so, Bob can you please graph each parabola using a different color.
What is the purpose for asking this question besides graphing 3 parabola?
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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Knowing about 'families' of curves with similar properties helps a lot with curve sketching. Once you've got one sorted the rest are easy.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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https://i.imgur.com/1afdOAq.gif
Knowing about 'families' of curves with similar properties helps a lot with curve sketching. Once you've got one sorted the rest are easy.
Bob
Thank you for the beautiful graph. Students today don't know how to graph by hand. I haven't graphed by hand since my school days back in the 90s. I also feel there is no need to graph by hand with so many apps, online calculators and websites that do all the graphing needed.
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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I have software. I couldn't make such smooth curves by hand.
Bob
Children are not defined by school ...........The Fonz
You cannot teach a man anything; you can only help him find it within himself..........Galileo Galilei
Sometimes I deliberately make mistakes, just to test you! …………….Bob
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I have software. I couldn't make such smooth curves by hand.
Bob
I know that you have software. I thank you. In the old days, I had to graph by hand.
The greatest truth about the Rapture is not its timing but it's reality.
Dr. David Jeremiah
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