Solving Quadratics by using the Quadratic Formula

Front

What is the standard form for a Quadratic?

Back

ax² + bx + c

Front

Solve Using the Quadratic Formula: x² + 4x - 40 = -8

Back

x = -8 & x = 4

Front

Determine the values of a, b, and c for the quadratic equation: 4x² – 8x = 3

Back

a = 4, b = -8, c = -3

Front

Use the quadratic formula to solve: n² = 9n - 20

Back

n = 4, n = 5

Front

What is the Quadratic Formula?

Back

x = -b ± √(b² - 4ac) / 2a

Front

What does the discriminant (b² - 4ac) tell us?

Back

It determines the nature of the roots: 0 (one real root), >0 (two real roots), <0 (no real roots).

Front

How do you convert a quadratic equation to standard form?

Back

Rearrange the equation to the form ax² + bx + c = 0.

Front

What is the vertex form of a quadratic equation?

Back

y = a(x - h)² + k, where (h, k) is the vertex.

Front

What is the axis of symmetry in a quadratic function?

Back

x = -b / (2a) is the line of symmetry.

Front

How do you find the y-intercept of a quadratic function?

Back

Set x = 0 in the equation and solve for y.