Solving Quadratics

Front

What are the zeros of a quadratic function?

Back

The zeros of a quadratic function are the values of x that make the function equal to zero. For example, in the function y = x^2 - 4, the zeros are x = 0 and x = 4.

Front

What is the greatest number of solutions that a Quadratic Equation can have?

Back

A quadratic equation can have a maximum of 2 solutions.

Front

What are the x-intercepts of a quadratic function?

Back

The x-intercepts are the points where the graph of the function crosses the x-axis. For example, for the function y = x^2 - 9, the x-intercepts are (-3, 0) and (3, 0).

Front

What is another word for zeros in a quadratic function?

Back

Another word for zeros is 'roots'.

Front

Which of the following equations matches the standard form of a quadratic?

Back

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

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point of the parabola represented by the quadratic function.

Front

How can you find the axis of symmetry of a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the standard form y = ax^2 + bx + c.

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant (b^2 - 4ac) indicates the nature of the roots: if it's positive, there are 2 real solutions; if zero, there is 1 real solution; if negative, there are no real solutions.

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 significance of the coefficient 'a' in a quadratic function?

Back

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