Solving Quadratics by graphing

Front

What is a zero of a quadratic function?

Back

A zero of a quadratic function is a value of x for which the function equals zero, meaning it is the x-coordinate where the graph intersects the x-axis.

Front

How many zeros can a quadratic function have?

Back

A quadratic function can have 0, 1, or 2 zeros.

Front

What does it mean if a parabola opens upwards?

Back

If a parabola opens upwards, it means the vertex is a minimum point, and the function has a minimum value.

Front

What does it mean if a parabola opens downwards?

Back

If a parabola opens downwards, it means the vertex is a maximum point, and the function has a maximum value.

Front

What is the vertex of a parabola?

Back

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

Front

What is the axis of symmetry in a parabola?

Back

The axis of symmetry is a vertical line that divides the parabola into two mirror-image halves, passing through the vertex.

Front

How can you find the zeros of a quadratic function graphically?

Back

You can find the zeros of a quadratic function by identifying the points where the graph intersects the x-axis.

Front

What is the significance of the y-intercept in a quadratic function?

Back

The y-intercept is the point where the graph intersects the y-axis, representing the value of the function when x=0.

Front

What does it mean for a quadratic function to have two solutions?

Back

It means the graph intersects the x-axis at two distinct points, indicating two different values of x that satisfy the equation.

Front

What does it mean for a quadratic function to have no real solutions?

Back

It means the graph does not intersect the x-axis, indicating that the quadratic equation has no real number solutions.