11.4 Solving Quadratics (EOC Practice)

Front

What are the solutions of the quadratic equation represented by the graph?

Back

The solutions are the x-intercepts of the graph, where the graph crosses the x-axis.

Front

What is the quadratic formula used to find the solutions of a quadratic equation?

Back

Front

What does it mean if a quadratic equation has no real solutions?

Back

It means the graph of the equation does not intersect the x-axis, indicating that the discriminant (b² - 4ac) is less than zero.

Front

How do you determine the vertex of a quadratic function in standard form?

Back

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if positive, there are two distinct real roots; if zero, one real root; if negative, no real roots.

Front

How can you solve a quadratic equation by factoring?

Back

Front

What is the standard form of a quadratic equation?

Back

Front

What is the vertex form of a quadratic equation?

Back

Front

How do you graph a quadratic function?

Back

To graph a quadratic function, find the vertex, axis of symmetry, x-intercepts, and y-intercept, then plot these points and draw a smooth curve.

Front

What is the axis of symmetry in a quadratic function?

Back