MAKE-UP: QUADRATIC FORMULA

Front

What is the Quadratic Formula?

Back

The Quadratic Formula is used to find the solutions (or roots) of a quadratic equation in the form ax² + bx + c = 0. It is given by: x = (-b ± √(b² - 4ac)) / (2a).

Front

Identify the standard form of a quadratic equation.

Back

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

Front

What does the 'a' value represent in a quadratic equation?

Back

The 'a' value determines the direction of the parabola. If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the significance of the 'b' value in a quadratic equation?

Back

The 'b' value affects the position of the vertex of the parabola along the x-axis and influences the symmetry of the graph.

Front

What does the 'c' value represent in a quadratic equation?

Back

The 'c' value represents the y-intercept of the quadratic function, which is the point where the graph intersects the y-axis.

Front

How do you determine the number of zeros of a quadratic function?

Back

The number of zeros can be determined using the discriminant (D = b² - 4ac). If D > 0, there are 2 real zeros; D = 0 means 1 real zero; D < 0 indicates no real zeros.

Front

Solve using the Quadratic Formula: 2x² - 4x - 6 = 0

Back

x = 3 and x = -1.

Front

What is the vertex form of a quadratic equation?

Back

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

Front

How can you convert a quadratic equation from standard form to vertex form?

Back

You can convert by completing the square.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by the formula x = -b/(2a).