Unit 4 Test Review (Review B)

Front

What is the result of the operation \( (16+3i)-(16+4i) \)?

Back

The result is \( -i \).

Front

Solve the equation \( 3x^2-4x+10=2 \). What are the solutions?

Back

The solutions are \( x=\frac{2\pm2i\sqrt{5}}{3} \).

Front

What is the general form of a quadratic function?

Back

The general form is \( f(x) = ax^2 + bx + c \) where a, b, and c are constants.

Front

What is the y-intercept of the function \( f(x) = x^2 + 15x - 25 \)?

Back

The y-intercept is the point \( (0, -25) \).

Front

What is the vertex of the quadratic function \( f(x) = -x^2 + x + 6 \)?

Back

The vertex can be found using the formula \( x = -\frac{b}{2a} \).

Front

How do you find the reflection of a point across the y-axis?

Back

To reflect a point \( (x, y) \) across the y-axis, change the sign of the x-coordinate to get \( (-x, y) \).

Front

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

Back

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

Front

What is the standard form of a complex number?

Back

The standard form of a complex number is \( a + bi \), where a is the real part and b is the imaginary part.

Front

How do you add two complex numbers?

Back

To add two complex numbers \( (a + bi) + (c + di) \), combine the real parts and the imaginary parts: \( (a+c) + (b+d)i \).

Front

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

Back

The vertex \( (h, k) \) of a parabola given by \( y = a(x-h)^2 + k \) is at the point \( (h, k) \).