x and y intercepts

Front

What is the definition of an x-intercept?

Back

The x-intercept is the point where a graph intersects the x-axis, meaning the y-coordinate is zero.

Front

What is the definition of a y-intercept?

Back

The y-intercept is the point where a graph intersects the y-axis, meaning the x-coordinate is zero.

Front

How can you find the x-intercept from a set of ordered pairs?

Back

The x-intercept can be found by identifying the ordered pair where the y-coordinate is zero.

Front

How can you find the y-intercept from a set of ordered pairs?

Back

The y-intercept can be found by identifying the ordered pair where the x-coordinate is zero.

Front

What does it mean for a graph to have a zero?

Back

A zero of a graph is a value of x for which the function equals zero, indicating where the graph crosses the x-axis.

Front

How do you determine the number of zeros in a parabola?

Back

The number of zeros in a parabola can be determined by analyzing its graph or using the quadratic formula to find the roots of the equation.

Front

What is the significance of the point (0, 0) in relation to intercepts?

Back

The point (0, 0) is the origin and can be an intercept if the graph crosses both axes at this point.

Front

What is the relationship between the zeros of a function and its graph?

Back

The zeros of a function correspond to the x-coordinates where the graph intersects the x-axis.

Front

What is the general form of a quadratic equation?

Back

The general form of a quadratic equation is y = ax^2 + bx + c, where a, b, and c are constants.

Front

How can you visually identify the x-intercept on a graph?

Back

The x-intercept can be visually identified as the point where the graph touches or crosses the x-axis.