Quadratic Applications Review

Front

What does the x-axis typically represent in a parabolic motion graph?

Back

Time.

Front

Solve the quadratic equation: 3x^2 + 5x + 2 = 0

Back

x = -2/3 and x = -1.

Front

Solve: 2(x-2)^2 + 3 = -37

Back

{2 ± 2i√5}.

Front

How do you find when an object hits the ground in a quadratic equation?

Back

Set the equation = 0 and solve for x-intercepts.

Front

What formula is used to calculate the time at which maximum height occurs in a quadratic function?

Back

-b/(2a).

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c.

Front

What do the coefficients a, b, and c represent in the quadratic equation y = ax^2 + bx + c?

Back

a is the leading coefficient, b is the linear coefficient, and c is the constant term.

Front

What is the vertex of a parabola represented by the quadratic equation y = ax^2 + bx + c?

Back

The vertex is at the point (-b/(2a), f(-b/(2a))).

Front

What is the axis of symmetry in a quadratic function?

Back

The line x = -b/(2a).

Front

What does the discriminant (b^2 - 4ac) tell us about the roots of a quadratic equation?

Back

It indicates the nature of the roots: if > 0, two real roots; if = 0, one real root; if < 0, two complex roots.