HW 7.1 Solving Quadratics by Graphing and Factoring

Front

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

Back

The solutions are the x-intercepts of the graph.

Front

What are the solutions of the quadratic equation x^2 - 6x + 8 = 0?

Back

The solutions are x = 2 and x = 4.

Front

What is another term for the zeroes of a quadratic function?

Back

x-intercepts.

Front

If a quadratic graph does not intersect the x-axis, what can be said about its solutions?

Back

It has no real solutions.

Front

Solve the quadratic equation x^2 + 4x - 32 = 0.

Back

The solutions are x = -8 and x = 4.

Front

What is the vertex of a quadratic function?

Back

The vertex is the highest or lowest point on the graph of the quadratic.

Front

How can you determine the number of real solutions from the discriminant?

Back

If the discriminant (b^2 - 4ac) is positive, there are 2 real solutions; if zero, 1 real solution; if negative, no real solutions.

Front

What does it mean if a quadratic function has a maximum value?

Back

It opens downwards and the vertex is the highest point.

Front

What does it mean if a quadratic function has a minimum value?

Back

It opens upwards and the vertex is the lowest point.

Front

What is the standard form of a quadratic function?

Back

The standard form is f(x) = ax^2 + bx + c.