Solve Quadratics by Graphing

Front

What is the formula to find the Axis of Symmetry of a quadratic function?

Back

The Axis of Symmetry can be found using the formula: x = -b/(2a), where a and b are coefficients from the quadratic equation ax² + bx + c = 0.

Front

How many zeros can a parabola have?

Back

A parabola can have 0, 1, or 2 zeros (x-intercepts).

Front

If the graph of a quadratic does not intercept the x-axis, what does this indicate about its solutions?

Back

It indicates that the quadratic has No Real Solution.

Front

What are the solutions to the equation 3x² + 4x – 20 = 0?

Back

The solutions are x = -3.33 and x = 2.

Front

What is another term for the zeros of a quadratic function?

Back

Another term for the zeros of a quadratic function is x-intercepts.

Front

What is a quadratic function?

Back

A quadratic function is a polynomial function of degree 2, typically written in the form f(x) = ax² + 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 quadratic function.

Front

How can you determine the direction of a parabola?

Back

The direction of a parabola opens upwards if the coefficient 'a' is positive and downwards if 'a' is negative.

Front

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

Back

The discriminant (b² - 4ac) determines the nature of the roots: if it's positive, there are 2 real solutions; if zero, 1 real solution; if negative, no real solutions.

Front

What is the standard form of a quadratic equation?

Back

The standard form of a quadratic equation is ax² + bx + c = 0.