OUR Integrated Math 2 Unit 3 Review (Solving Quadratic Equations

Front

What are the values of a, b, and c in the quadratic equation 4x² - 8x = 3?

Back

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

Front

What are the x-intercepts of the function represented by the equation 4x² - 8x - 3 = 0?

Back

(-3, 0) & (3, 0)

Front

What is the standard form of a quadratic equation?

Back

ax² + bx + c = 0

Front

Solve the equation: 5x² - 35x + 60 = 0

Back

x = 3, 4

Front

Simplify (-6 - 2i)²

Back

32 + 24i

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 does the discriminant of a quadratic equation tell us?

Back

It indicates the nature of the roots: positive (two real roots), zero (one real root), negative (two complex roots).

Front

How do you find the axis of symmetry for a quadratic equation?

Back

x = -b/(2a) from the standard form ax² + bx + c.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a)

Front

What is the significance of the coefficient 'a' in a quadratic equation?

Back

It determines the direction of the parabola: opens upwards if a > 0, downwards if a < 0.