Solve Quadratics by Graphing

Front

What is the greatest number of solutions that a Quadratic Equation can have?

Back

2

Front

How many zeros does a parabola have if it intersects the x-axis at two points?

Back

2

Front

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

Back

x-intercepts

Front

What are the solutions of the quadratic equation x² + 12x + 35?

Back

(-5,0) and (-7,0)

Front

What are the points where a parabola intersects the x-axis called?

Back

roots or x-intercepts

Front

What is the standard form of a quadratic equation?

Back

y = ax² + bx + c

Front

What does the 'a' in the quadratic equation y = ax² + bx + c represent?

Back

The coefficient that determines the direction and width of the parabola.

Front

How can you determine the number of real solutions of a quadratic equation?

Back

By calculating the discriminant (b² - 4ac). If it's positive, there are 2 solutions; if zero, 1 solution; if negative, no real solutions.

Front

What is the vertex of a parabola?

Back

The highest or lowest point of the parabola, depending on its orientation.

Front

How do you find the vertex of a quadratic function in standard form?

Back

Using the formula x = -b/(2a) to find the x-coordinate, then substituting back to find the y-coordinate.