Frogs Fleas Inv 1 and 2

Front

What are x-intercepts?

Back

The x-intercepts of a function are the points where the graph of the function crosses the x-axis. This occurs when y = 0.

Front

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

Back

To find the x-intercepts of a quadratic equation in the form y = ax^2 + bx + c, set y to 0 and solve the equation ax^2 + bx + c = 0.

Front

What is the vertex of a quadratic function?

Back

The vertex of a quadratic function is the highest or lowest point on the graph, depending on whether it opens upwards or downwards.

Front

What does it mean if a quadratic function has a maximum value?

Back

A quadratic function has a maximum value if it opens downwards, meaning the vertex represents the highest point on the graph.

Front

What does it mean if a quadratic function has a minimum value?

Back

A quadratic function has a minimum value if it opens upwards, meaning the vertex represents the lowest point on the graph.

Front

How do you factor a quadratic expression?

Back

To factor a quadratic expression of the form ax^2 + bx + c, find two numbers that multiply to ac and add to b, then rewrite the expression.

Front

What is the y-intercept of a function?

Back

The y-intercept of a function is the point where the graph crosses the y-axis, occurring when x = 0.

Front

How do you find the y-intercept of a quadratic equation?

Back

To find the y-intercept of a quadratic equation, substitute x = 0 into the equation and solve for y.

Front

What is the standard form of a quadratic equation?

Back

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

Front

What is the factored form of a quadratic equation?

Back

The factored form of a quadratic equation is expressed as y = a(x - r1)(x - r2), where r1 and r2 are the roots or x-intercepts.