Wall ShoutOuts

Front

What is the definition of a root in a graph?

Back

A root of a graph is a value of x for which the function equals zero, indicating where the graph intersects the x-axis.

Front

How many roots can a quadratic function have?

Back

A quadratic function can have zero, one, or two real roots.

Front

What does the term 'domain' refer to in a function?

Back

The domain of a function refers to the set of all possible input values (x-values) for which the function is defined.

Front

What is the significance of zeros in a function?

Back

Zeros of a function are the x-values where the function's output is zero, also known as x-intercepts.

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

What does it mean for two lines to intersect?

Back

Two lines intersect when they cross each other at a point, which is called the solution to the system of equations represented by the lines.

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 its orientation.

Front

How can you determine the number of solutions in a system of equations?

Back

The number of solutions can be determined by analyzing the graphs of the equations: no solutions (parallel lines), one solution (intersecting lines), or infinitely many solutions (coincident lines).

Front

What is the formula for finding the vertex of a quadratic function in standard form?

Back

The vertex (h, k) of a quadratic function in standard form y = ax^2 + bx + c can be found using h = -b/(2a) and k = f(h).

Front

What is the relationship between the discriminant and the number of roots?

Back

The discriminant (b^2 - 4ac) indicates the number of roots: if positive, there are two distinct real roots; if zero, there is one real root; if negative, there are no real roots.