Chapter 2 Flashcard

Front

Which of these represents point-slope form of a linear equation?

Back

y - y₁ = m(x - x₁) is the point-slope form of a linear equation, where m is the slope and (x₁, y₁) is a point on the line.

Front

What are the zeros of the parabola?

Back

The zeros of the parabola are the x-values where the graph intersects the x-axis. For this parabola, the zeros are 1 and 5.

Front

What is the y-intercept of this parabola?

Back

The y-intercept is the point where the graph intersects the y-axis. For this parabola, the y-intercept is (0, 5).

Front

What is the name of this form: y = ax² + bx + c?

Back

This is called the standard form of a quadratic equation.

Front

What is the equation for the axis of symmetry?

Back

The axis of symmetry for a parabola in standard form y = ax² + bx + c is given by the equation x = -b/(2a). For this parabola, the axis of symmetry is x = 3.

Front

Define the slope of a line.

Back

The slope of a line measures its steepness and is calculated as the change in y divided by the change in x (rise/run).

Front

What is the vertex of a parabola?

Back

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

Front

How do you find the vertex from the standard form of a quadratic equation?

Back

The vertex can be found using the formula (-b/(2a), f(-b/(2a))) where f(x) is the quadratic function.

Front

What does the term 'quadratic' refer to?

Back

Quadratic refers to a polynomial of degree 2, typically in the form ax² + bx + c.

Front

What is the difference between standard form and vertex form of a quadratic equation?

Back

Standard form is y = ax² + bx + c, while vertex form is y = a(x - h)² + k, where (h, k) is the vertex.