Jeremy and Arnold are working on a project for math class in which they are to identify the quadratic equation that represents a rain gauge that sits off the ground. Graph each of the equations and then determine which one could represent the position of the rain catcher that sits above the ground. The x-axis represents the ground. 1. y = x2 + 11x + 24 2. y = –x2 – 6x – 8 Direction of Parabola: Direction of Parabola: Location of vertex with respect Location of vertex with respect to the x axis: to the x axis: Determine if the graph depicts Determine if the graph depicts the rain gauge. the rain gauge. Why or why not? Why or why not?3. y = x2 – 2x + 3 4. y = x2 + 4x + 4 Direction of Parabola: Direction of Parabola: Location of vertex with respect Location of vertex with respect to the x axis: to the x axis: Determine if the graph depicts Determine if the graph depicts the rain gauge. the rain gauge. Why or why not? Why or why not?5. y = 3x2 + 21x + 30 Direction of Parabola: Location of vertex with respect to the x axis: Determine if the graph depicts the rain gauge. Why or why not?

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Step-by-step explanation:

Given ax² + bx + c = 0

If a > 0 (positive), then parabola opens UP

If a < 0 (negative), then parabola opens (DOWN)

Axis of Symmetry:

Max/Min: Plug axis of symmetry into the given equation and solve for y.

1) y = x² + 11x + 24

      a=1   b=11

a> 0 so parabola opens UP

2) y = -x² - 6x - 8

      a=-1   b=-6

a< 0 so parabola opens DOWN

3) y = x² - 2x + 3

      a=1   b=-2

a> 0 so parabola opens UP

4) y = x² + 4x + 4

      a=1   b=4

a> 0 so parabola opens UP

5) y = 3x² + 21x + 30

      a=3   b=21

a> 0 so parabola opens UP

your mom x 3

step-by-step explanation:

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.