12-02 Solve Quadratics by Graphing

Front

What are the solutions of the graph of the quadratic equation y = (x + 2)(x - 3)?

Back

The solutions are x = -2 and x = 3.

Front

The U-Shaped curve of a quadratic equation is called a ______.

Back

parabola

Front

The two solutions to the quadratic equation y = 2x² - x - 3 are...

Back

x = -1 and x = 1.5.

Front

The solutions of the quadratic equation x² + 2x - 15 = 0 are...

Back

x = -5 or x = 3.

Front

The solutions of the quadratic equation x² + 12x + 35 = 0 are...

Back

x = -5 or x = -7.

Front

What is the vertex of the parabola represented by the equation y = x² - 4x + 3?

Back

The vertex is at the point (2, -1).

Front

What is the axis of symmetry for the quadratic equation y = x² + 6x + 8?

Back

The axis of symmetry is x = -3.

Front

How do you find the x-intercepts of a quadratic function?

Back

Set y = 0 and solve the quadratic equation for x.

Front

What does the discriminant of a quadratic equation tell you?

Back

It indicates the nature of the roots: if positive, two real roots; if zero, one real root; if negative, no real roots.

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.