Day 1: Introduction to Quadratic Functions

Front

What is the equation for the axis of symmetry in a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax^2 + bx + c = 0.

Front

What shape do quadratic equations take when graphed?

Back

Parabola.

Front

What is the maximum or minimum point of a parabola called?

Back

Vertex.

Front

How can you determine if a parabola opens upwards or downwards?

Back

If the coefficient of x^2 (a) is positive, it opens upwards (minimum point). If a is negative, it opens downwards (maximum point).

Front

What is the significance of the vertex in a quadratic function?

Back

It represents the highest or lowest point of the graph, depending on the direction the parabola opens.

Front

What is the standard form of a quadratic function?

Back

f(x) = ax^2 + bx + c.

Front

What does the 'a' value in a quadratic function determine?

Back

The direction and width of the parabola. A larger |a| value makes the parabola narrower.

Front

What is the y-intercept of a quadratic function?

Back

The point where the graph intersects the y-axis, found by evaluating f(0).

Front

How do you find the x-intercepts of a quadratic function?

Back

Set f(x) = 0 and solve for x using factoring, completing the square, or the quadratic formula.

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a).