Quadratic Key Features Flashcard

Front

What is another name for the x-intercepts of a quadratic?

Back

Zeros

Front

What is the vertex of the graph?

Back

The vertex is the highest or lowest point of the parabola, depending on its direction.

Front

Find the roots of y=5x²+7x-90

Back

The roots are the values of x that make y=0, which are (-5,0) and (3.6,0).

Front

What is the vertex of y=x²+4x+3?

Back

The vertex is (-2,-1).

Front

Name the x-intercept(s) of the function.

Back

The x-intercepts are (0, 0) and (4, 0).

Front

What is the standard form of a quadratic equation?

Back

The standard form is y = ax² + bx + c.

Front

What does the 'a' value in a quadratic equation indicate?

Back

The 'a' value indicates the direction of the parabola: if 'a' is positive, it opens upwards; if negative, it opens downwards.

Front

How do you find the axis of symmetry for a quadratic function?

Back

The axis of symmetry can be found using the formula x = -b/(2a).

Front

What is the significance of the vertex in a quadratic function?

Back

The vertex represents the maximum or minimum point of the parabola.

Front

What are the characteristics of a parabola that opens upwards?

Back

It has a minimum vertex, the arms extend upwards, and the y-values increase as you move away from the vertex.