Algebra 2 Review Part 2

Front

What is the vertex of the parabola given by the equation y = 3(x + 5)² - 4?

Back

The vertex is (-5, -4).

Front

In the quadratic equation y = ax² + bx + c, what does 'c' represent?

Back

'c' represents the y-intercept.

Front

How many solutions does the equation x = \frac{6 \pm \sqrt{36-36}}{2(3)} have?

Back

There is 1 solution.

Front

What is the value of i³?

Back

i³ = -i.

Front

What is the value of \sqrt{-64}?

Back

\sqrt{-64} = 8i.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What does the axis of symmetry represent in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror images.

Front

How do you find the vertex of a parabola in standard form?

Back

The vertex can be found using the formula \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right).

Front

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

Back

The discriminant is b² - 4ac; it indicates the number of real solutions.

Front

What is the formula for the quadratic formula?

Back

The quadratic formula is x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}.