Graphing Quadratics

Front

What is the axis of symmetry in a quadratic graph?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, and it passes through the vertex.

Front

Where does the axis of symmetry pass through?

Back

The axis of symmetry passes through the vertex of the parabola.

Front

What is the equation for the axis of symmetry for a quadratic function in the form y = ax^2 + bx + c?

Back

The equation for the axis of symmetry is x = -b/(2a).

Front

What are the roots or x-intercepts of a quadratic function?

Back

The roots or x-intercepts are the points where the graph intersects the x-axis, and they can be found by solving the equation f(x) = 0.

Front

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

Back

The y-intercept can be found by evaluating the function at x = 0.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola, depending on its orientation.

Front

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

Back

If the coefficient 'a' in the quadratic equation y = ax^2 + bx + c is positive, the parabola opens upwards; if 'a' is negative, it opens downwards.

Front

What is the standard form of a quadratic function?

Back

The standard form of a quadratic function is y = ax^2 + bx + c.

Front

What is the vertex form of a quadratic function?

Back

The vertex form of a quadratic function 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

To convert from standard form to vertex form, you can complete the square.