Math 1 Units 7 - 9 Vocabulary

Front

How many roots does a parabola have?

Back

A parabola can have 0, 1, or 2 roots depending on its position relative to the x-axis.

Front

What does it mean if a parabola opens down?

Back

If a parabola opens down, it indicates that the coefficient of the x^2 term in the quadratic equation is negative.

Front

What is the exponential equation for depreciation?

Back

The exponential equation for depreciation is y = P(1 - r)^t, where P is the initial value, r is the rate of depreciation, and t is time.

Front

What are the roots of a quadratic graph?

Back

Roots are the x-values where the graph crosses the x-axis.

Front

What is the definition of the y-intercept?

Back

The y-intercept is the point where the graph crosses the y-axis.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is y = ax^2 + bx + c.

Front

What does the vertex of a parabola represent?

Back

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

Front

How do you find the axis of symmetry for a parabola?

Back

The axis of symmetry can be found using the formula x = -b/(2a) from the quadratic equation y = ax^2 + bx + c.

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b^2 - 4ac) determines the number of roots: if positive, there are 2 roots; if zero, 1 root; if negative, no real roots.

Front

What is a quadratic function?

Back

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