IM2 Fall 2024 Semester Exam

Front

What is the equation for the axis of symmetry of a quadratic function?

Back

x = -b/(2a), where a and b are coefficients from the quadratic equation ax^2 + bx + c.

Front

What type of function best models earnings based on hourly wage?

Back

Linear function.

Front

Use the quadratic formula to find the solutions for y = -x^2 - 5x + 12. What are the solutions?

Back

x = 2 and x = -6.

Front

Factor the expression: x^2 + 24x + 144.

Back

(x + 12)^2.

Front

What is the vertex of the quadratic function h(x) = x^2 - 8x + 16?

Back

(4, 0).

Front

What is the standard form of a quadratic function?

Back

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

Front

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

Back

The direction of the parabola (upward if a > 0, downward if a < 0).

Front

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

Back

Set y = 0 and solve the equation ax^2 + bx + c = 0.

Front

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

Back

The discriminant is b^2 - 4ac; it indicates the nature of the roots (two real, one real, or no real solutions).

Front

What is the vertex form of a quadratic function?

Back

y = a(x - h)^2 + k, where (h, k) is the vertex.