Quadratic Desmos

A quadratic equation is typically written in the form of ax² + bx + c = 0, where a, b, and c are (a)   .

• constants
• variables
• coefficients
• roots

The (a)   is the graph of a quadratic function, which is a U-shaped curve.

• parabola
• circle
• ellipse
• hyperbola

When solving quadratic word problems, it is important to (a)   the problem into a quadratic equation.

• translate
• ignore
• complicate
• simplify

Quadratic equations can have two, one, or no ______________ solutions.

Tags

CCSS.HSA-REI.B.4B

If Peter Parker jumps from a building, and his height h in meters above the ground is given by h = -4.9t² + 20t + 5, where t is time in seconds, what is his height at t = 2 seconds?

Mathematical Equivalence

ON

Mary Jane throws a ball, and its height is modeled by the equation h = -3t² + 12t + 2. What is the maximum height the ball reaches?

Mathematical Equivalence

ON

Describe how you would solve a real-world problem involving the maximum height of a projectile.

Explain how the quadratic formula is used to solve quadratic equations and what each part represents.

Tags

CCSS.HSA-REI.B.4B

Provide an example from your daily life where you might encounter a quadratic equation and describe the situation.

Whoa, that was a close one! I just dodged a projectile that follows the path y = −0.025x² + 0.5x + 6, where y is the height in meters and x is the horizontal distance in meters. At what horizontal distance does the projectile hit the ground?

(Round to nearest whole number)

Mathematical Equivalence

ON