12/2 warm up m2

Front

How does the parabola open for the equation y = -x² + 4x - 1?

Back

The parabola opens down.

Front

What is the vertex of the graph for the equation y = -x² + 4x - 1?

Back

The vertex is (3, -1).

Front

What is the y-intercept of the equation y = 2x² + 8x + 3?

Back

The y-intercept is (0, 3).

Front

Which of the following is not the same as 'solution'? (x-intercept, roots, zeros, y-intercept)

Back

The y-intercept is not the same as 'solution'.

Front

What is the equation for the axis of symmetry for the parabola y = -x² + 4x - 1?

Back

The axis of symmetry is x = 3.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the 'a' value in a quadratic equation determine?

Back

The 'a' value determines the direction the parabola opens (up if a > 0, down if a < 0).

Front

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

Back

Set y = 0 and solve for x.

Front

What is the formula to find the vertex of a parabola given in standard form?

Back

The vertex can be found using x = -b/(2a).

Front

What is the discriminant in a quadratic equation and what does it indicate?

Back

The discriminant is b² - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).