12/03 Quadratic Formula DO NOW!!

Front

What is the quadratic formula?

Back

The quadratic formula is x = (-b ± √(b² - 4ac)) / (2a), used to find the roots of a quadratic equation ax² + bx + c = 0.

Front

Identify the values of a, b, and c in the quadratic equation: 2x² + 3x - 5 = 0.

Back

a = 2, b = 3, c = -5.

Front

What does the discriminant (b² - 4ac) tell us about a quadratic equation?

Back

The discriminant determines the nature of the roots: if > 0, two distinct real roots; if = 0, one real root; if < 0, no real roots.

Front

Find the value of x using the quadratic formula, if a=1, b=-4, c=4.

Back

x = 2 (double root).

Front

Identify the 'c' value in the quadratic equation: y = 5x² + 3x + 2.

Back

c = 2.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

Convert the standard form of a quadratic equation to vertex form: y = x² - 6x + 8.

Back

y = (x - 3)² - 1.

Front

Determine the values of a, b, and c for the quadratic equation: 3x² + 12x + 9 = 0.

Back

a = 3, b = 12, c = 9.

Front

Find the value of x using the quadratic formula, if a=3, b=6, c=-9.

Back

x = 1 and x = -3.

Front

What is the axis of symmetry for a quadratic equation?

Back

The axis of symmetry is given by the formula x = -b/(2a).