Unit 5 Test Review

Front

Simplify \(\sqrt{-25}\)

Back

\(5i\)

Front

What is the green dot on the parabola called?

Back

vertex

Front

Write down the steps in your notes to solve for x: \((x-5)^2=-25\)

Back

\(x = 5 + 5i\) and \(x = 5 - 5i\)

Front

Solve by the Quadratic Formula: \(-12q^2+3q+7=0\)

Back

\(\frac{3\pm\sqrt{345}}{24}\)

Front

What is the equation of this graph?

Back

\(f(x) = (x + 2)^2 - 1\)

Front

What is the definition of a complex number?

Back

A complex number is a number that can be expressed in the form \(a + bi\), where \(a\) and \(b\) are real numbers and \(i\) is the imaginary unit.

Front

What is the vertex form of a quadratic equation?

Back

The vertex form of a quadratic equation is \(f(x) = a(x-h)^2 + k\), where \((h, k)\) is the vertex.

Front

What does the discriminant of a quadratic equation tell us?

Back

The discriminant, given by \(b^2 - 4ac\), indicates the nature of the roots: if positive, two distinct real roots; if zero, one real root; if negative, two complex roots.

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula \(x = -\frac{b}{2a}\) from the standard form of a quadratic equation \(ax^2 + bx + c = 0\).

Front

What is the quadratic formula?

Back

The quadratic formula is \(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\) used to find the roots of a quadratic equation.