Alg Quadratic Applications

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0, where a, b, and c are constants and a ≠ 0.

Front

How do you find the maximum height of a projectile given its height equation?

Back

To find the maximum height of a projectile, use the vertex formula t = -b/(2a) from the height equation s(t) = at² + bt + c, then substitute t back into the equation to find the height.

Front

What does the variable 't' represent in projectile motion equations?

Back

In projectile motion equations, 't' represents time in seconds.

Front

What is the significance of the coefficients in the quadratic equation of motion?

Back

In the equation s(t) = -16t² + vt + h, -16 represents the acceleration due to gravity (in ft/s²), v is the initial velocity, and h is the initial height.

Front

How do you determine the width and length of a rectangle given its area?

Back

To determine the width and length of a rectangle given its area, set up the equation width * length = area, and use any additional relationships (like length = width + 10) to solve for the dimensions.

Front

What is the relationship between the ages of Madison and Paige in the given problem?

Back

Madison's age is represented as 4P - 7, where P is Paige's age.

Front

How do you solve for when an object hits the ground using a quadratic equation?

Back

To find when an object hits the ground, set the height equation equal to 0 and solve for t.

Front

What is the formula to calculate the area of a rectangle?

Back

The formula to calculate the area of a rectangle is Area = length × width.

Front

What is the vertex of a parabola, and how is it related to maximum height?

Back

The vertex of a parabola is the highest or lowest point on the graph. For a projectile, the vertex represents the maximum height.

Front

What is the formula for the height of a projectile launched vertically?

Back

The height of a projectile launched vertically is given by h(t) = -16t² + vt + h, where v is the initial velocity and h is the initial height.