DLD 11-5-24 Key Features of Quadratic Graphs

Front

What is the graph of a quadratic function called?

Back

Parabola

Front

What are the coordinates of the vertex in the quadratic function y = ax^2 + bx + c?

Back

The vertex can be found using the formula: ( -b/(2a), f(-b/(2a)) ).

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 images, given by the equation x = -b/(2a).

Front

How do you find the maximum or minimum value of a quadratic function?

Back

The maximum or minimum value occurs at the vertex, which can be found using the vertex formula.

Front

What is the y-intercept of a quadratic function?

Back

The y-intercept is the point where the graph crosses the y-axis, found by evaluating the function at x=0.

Front

What is the standard form of a quadratic function?

Back

The standard form is y = ax^2 + bx + c.

Front

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

Back

The 'a' value determines the direction of the parabola (upward if a > 0, downward if a < 0) and the width of the parabola.

Front

How can you determine if a quadratic function opens upwards or downwards?

Back

If 'a' is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the vertex form of a quadratic function?

Back

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

Front

How do you convert from standard form to vertex form?

Back

You can complete the square to convert from standard form to vertex form.