Quadratic Function Review

For the equation  $g\left(x\right)=x^2-9$  evaluate  $g\left(5\right)$ . Write only the number as your answer.

For the equation $f\left(x\right)=-2x^2+8x$  evaluate  $f\left(-1\right)$ . Write only the number as your answer.

For the equation $h\left(x\right)=x^2-2x+6$  evaluate  $h\left(0\right)$ . Write only the number as your answer.

Which of the following represents the y-intercept of the graph of the quadratic function  $y=2x^2-7x+9$ ? (Recall, that the y-intercept of a graph always occurs when  $x=0$ .)  

• 7

• 2

• -7

• 9

For the equation  $g\left(x\right)=x^2-9$  evaluate  $g\left(-3\right)$ . Write only the number as your answer.

For the equation $f\left(x\right)=-2x^2+8x$  evaluate  $f\left(3\right)$ . Write only the number as your answer.

For the equation $h\left(x\right)=x^2-2x+6$  evaluate  $h\left(-2\right)$ . Write only the number as your answer.

A quadratic function is shown in the table. Which of the following statements is not true about the function based on this table?

• The function has an x-intercept of 3.

• The function has a y-intercept of -3 . 

• The function’s leading coefficient is negative. 

• The function has a turning point of  $\left(1,-4\right)$ .

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

The number of meters above the ground,  $h$ , of a projectile fired at an initial velocity of 86 meters per second and at an initial height of 6.2 meters is given by  $h\left(t\right)=-4.9t^2+86t+6.2$ , where  $t$  represents the time, in seconds, since the projectile was fired. If the projectile hits its peak height at  $t=8.775$  seconds, which of the following is closest to its greatest height?

• 265 meters

• 384 meters

• 422 meters

• 578 meters

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.SSE.A.1

Physics students were modeling the height of a ball once it was dropped from the roof of a 25 story building. The students found that the height in feet, $h$ of the ball above the ground as a function of the number of seconds, $t$ since it was dropped was given by $h\left(t\right)=300-16t^2$ . From what height was the ball dropped?

• 300 ft

• 16 ft

• 25 ft

• 284 ft