Semester #1 Practice Final (Part 2) (IM2) 24-25

Front

What is the result of expanding (4x-1)(x+5)?

Back

4x^2 + 19x - 5

Front

Using the Zero Product Property, solve (3x+2)(x+1)=0.

Back

x = -1, x = -\frac{2}{3}

Front

What is the vertex of the quadratic equation y = 2(x + 2)^2 + 5?

Back

(-2, 5)

Front

What transformation occurs to the graph of y = x^2 + 4 when it shifts up 4?

Back

The new equation becomes y = x^2 + 8.

Front

How many terms are in the expression 2ab^3 + 3a^2b^5 - 5a^5b^3?

Back

3

Front

What is the standard form of a quadratic equation?

Back

y = ax^2 + bx + c, where a, b, and c are constants.

Front

What does the vertex of a parabola represent?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

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

Back

Set y = 0 and solve for x using the quadratic formula or factoring.

Front

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

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots (real and distinct, real and equal, or complex).

Front

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

Back

The vertex (h, k) can be found using h = -\frac{b}{2a} and k = f(h).