Quadratic What to Solve For

How do you find the x-value of the vertex?

• b² - 4ac

• -b/2a

• b²/4a

• b/4ac

Select each way you can find the positive x-intercept.

• Always: Quadratic Formula

• Sometimes: Viewing the graph on a graphing calculator

• Always: Completing the Square

• Sometimes: By factoring and setting each factor equal to zero

• Sometimes: Solving by roots

A toy rocket is launched upward from the ground at a rate of 64 feet per second. The function h(t) = -16t² + 64t represents h, the height of the rocket, at any given time, t, in seconds after the launch.

To determine how many seconds it will take for the rocket to hit the ground, you must find what?!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

A toy rocket is launched upward from the ground at a rate of 64 feet per second. The function h(t) = -16t² + 64t represents h, the height of the rocket, at any given time, t, in seconds after the launch. To determine the maximum height of the rocket, you must find what?!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

A projectile was projected into the air off a rooftop with an initial velocity at 32 feet per second. The quadratic equation h = -16t2 + 32t + 240 represents the height,

h, of the projectile t seconds after it was projected into the air.

To determine how many seconds it should take for the projectile to hit the ground, you must find what?

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

A record label has collected the data relating the selling price of an album to the profit generated. The relationship can be modeled by the quadratic equation p = -100s2 + 2400s - 8000, where p represents the profit and s represents the selling price. What must you find to determine which selling price will maximize profits?

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine how many seconds it will take for Janet to enter the water?!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine the greatest height she reaches in her dive.!

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

At a swim meet, Janet dives from a diving board that is 40 feet high. Her position above the water is represented by the equation h(t) = -16t2 + 24t + 40 where t represents time in seconds and h(t) represents height in feet. What would you need to find to determine how long it will take her to reach her maximum height?

• The positive x-intercept

• The negative x-intercept

• The x-value of the vertex

• The y-value of the vertex

What mathematical process did they use?

• Quadratic Formula

• Completing the Square

• Factoring

• Differentiation