Final Review - 4

Front

What is the simplified form of 5x + 3y + 5 + 4x + 3y + y + 8?

Back

9x + 7y + 13

Front

Solve the inequality: 7b - 3 < 11. What is the solution for b?

Back

b < 2

Front

If f(x) = x^2, what is the function g(x) if it is transformed to g(x) = x^2 - 5?

Back

g(x) = x^2 - 5

Front

What transformation changes the graph of f(x) = x^2 to g(x) = (x + 4)^2?

Back

Shift 4 units to the left.

Front

Solve for x: |2x - 1| = 9. What are the possible values of x?

Back

x = 5 and x = -4.

Front

What is the definition of a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically in the form f(x) = ax^2 + bx + c.

Front

What does the vertex of a parabola represent in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What is the axis of symmetry in a quadratic function?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, given by x = -b/(2a).

Front

What is the standard form of a quadratic equation?

Back

The standard form is ax^2 + bx + c = 0.

Front

What is the quadratic formula used for?

Back

The quadratic formula is used to find the roots of a quadratic equation: x = (-b ± √(b² - 4ac)) / (2a).