Graphing Quadratics in Standard Form Review

Front

What are the coordinates of the vertex of a quadratic function?

Back

The vertex of a quadratic function in standard form y = ax^2 + bx + c can be found using the formula: (h, k) where h = -b/(2a) and k is the value of the function at h.

Front

What does it mean if the vertex of a quadratic function is a maximum?

Back

If the vertex is a maximum, the parabola opens downwards (a < 0), and the vertex represents the highest point on the graph.

Front

What does it mean if the vertex of a quadratic function is a minimum?

Back

If the vertex is a minimum, the parabola opens upwards (a > 0), and the vertex represents the lowest point on the graph.

Front

What is the shape of the graph of a quadratic function?

Back

The graph of a quadratic function is called a parabola.

Front

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

Back

The direction of the parabola is determined by the coefficient 'a' in the standard form y = ax^2 + bx + c. If a > 0, it opens upwards; if a < 0, it opens downwards.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

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. It can be found using the formula x = -b/(2a).

Front

How do you find the y-intercept of a quadratic function?

Back

The y-intercept of a quadratic function in standard form y = ax^2 + bx + c is the point (0, c).

Front

What is the vertex of the quadratic function y = x^2 - 4?

Back

The vertex is (0, -4).

Front

What are the coordinates of the vertex for the quadratic function y = 2x^2 + 8x + 6?

Back

The vertex is (-2, -2).