Quadratic Questionary 10th Grade B

You can determine a function rule for a parabola with its vertex at the origin by substituting x and y values for any other point on the parabola into g (x) = ax^2 and solving for a.  Do that for the parabola showed.

•  $f\left(x\right)=-2x^2$  

•  $f\left(x\right)=-8x^2$  

•  $f\left(x\right)=2x^2$  

•  $f\left(x\right)=8x^2$  

• Two options from those above

 $d\left(t\right)=-2t^2$  

In your book, this function shown models  the depth in yards below the water’s surface of a dolphin before and after it rises to take a breath and descends again. If we want to move the entire graphic to the right four units, what the equation would be then?

•  $d\left(t\right)=-2t^2+4$  

•  $d\left(t\right)=-2\left(t-4\right)^2$  

•  $d\left(t\right)=-2\left(t+4\right)^2$  

•  $d\left(t\right)=\left(-2+4\right)t^2$  

Compare the given graph to the graph of the parent function ƒ (x) = x^2 . Describe how the parent function must be translated to get the graph shown here.

• The graph has been translated 3 units to the left and 2 units down.

• The graph has been translated 2 units to the left and 3 units down.

• The graph has been translated 3 units to the right and 2 units up.

• The graph has been translated 2 units to the right and 3 units up.

Determine which functions represented by each equation are quadratic.

• 1

• 3

• 4

• 6

• 8

Use the values table to write a quadratic function in vertex form, y = a (x - h)^2 + k.

• $y=2\left(x-6\right)^2-8$

• $y=2\left(x-6\right)^2+8$

• $y=2x^2$

• $y=2\left(x-8\right)^2-6$

A bird is in a tree 76 feet off the ground and drops a twig that lands on a rosebush 12 feet below. The function h (t) = -16t^2 + 76, where t represents the time in seconds, gives the height h, in feet, of the twig above the ground as it falls. When will the twig land on the bush?

• 0 seconds

• 1 seconds

• 2 seconds

• 3 seconds

• least than 4 seconds

A trampolinist steps off from 15 feet above ground to a trampoline 13 feet below. The function h (t) = -16t^2 + 15, where t represents the time in seconds, gives the height h, in feet, of the trampolinist above the ground as he falls. When will the trampolinist land on the trampoline?

• 0.2 seconds

• 0.4 seconds

• 0.6 seconds

• 0.8 seconds

• y= 5x^2 -10

• y=5x^2-x-2

• y=5x^2-5x-2

• y=5x^2 -5x -10

• none of above

• 15 and 17

• 15 and -17

• -15 and 17

• -15 and -17

• none of the above

Write a quadratic equation openning up and intercepting the x-axes in -5 and 5