Plotting Functions with Parameters: Linking function properties to its representation

Identifying and defining elements Determine the algebraic representation of the following descriptions Matching parameters

Question 1

Does the parable

$$ y=-x^2+3x+9 $$

Is there a minimum or maximum point?

Question 2

Does the parable

$$ y=(x-2)(x+1) $$

Is there a minimum or maximum point?

Question 3

Does the parable

$$ y=-2x(x+1) $$

Is there a minimum or maximum point?

Question 4

Does the parable

$$ y=2x(x+3) $$

Is there a minimum or maximum point?

Question 5

Does the parable

$$ y=6x-x^2 $$

Is there a minimum or maximum point?

Examples with solutions for Plotting Functions with Parameters: Linking function properties to its representation

Exercise #1

Does the parable

$y=-x^2+3x+9$

Is there a minimum or maximum point?

Video Solution

Answer

Highest point

Exercise #2

Does the parable

$y=(x-2)(x+1)$

Is there a minimum or maximum point?

Video Solution

Answer

Minimal point

Exercise #3

Does the parable

$y=-2x(x+1)$

Is there a minimum or maximum point?

Video Solution

Answer

Highest point

Exercise #4

Does the parable

$y=2x(x+3)$

Is there a minimum or maximum point?

Video Solution

Answer

Minimal point

Exercise #5

Does the parable

$y=6x-x^2$

Is there a minimum or maximum point?

Video Solution

Answer

Highest point

Question 1

Does the parable

$$ y=x^2+2x $$

Is there a minimum or maximum point?

Question 2

Does the parable

$$ y=(x+1)(-x-1) $$

Is there a minimum or maximum point?

Question 3

Does the parable

$$ y=-(x+1)(x-1) $$

Is there a minimum or maximum point?

Exercise #6

Does the parable

$y=x^2+2x$

Is there a minimum or maximum point?

Video Solution

Answer

Minimal point

Exercise #7

Does the parable

$y=(x+1)(-x-1)$

Is there a minimum or maximum point?

Video Solution

Answer

Highest point

Exercise #8

Does the parable

$y=-(x+1)(x-1)$

Is there a minimum or maximum point?

Video Solution

Answer

Highest point