Question

Graph the function f(x)=4x^2+ 3x - 1

The vertex of the function is
The vertex is a
point; Therefore, the
value is
The equation for the axis of symmetry is
The zeros of the function are and
The y-intercept of the function is
The domain of the function is
and the range of the function is

Answer 1

Explanation:

The graph of a quadratic function is a U-shaped curve called a parabola. One important feature of the graph is that it has an extreme point, called the vertex. If the parabola opens up, the vertex represents the lowest point on the graph, or the minimum value of the quadratic function. If the parabola opens down, the vertex represents the highest point on the graph, or the maximum value. In either case, the vertex is a turning point on the graph. The graph is also symmetric with a vertical line drawn through the vertex, called the axis of symmetry.

Graph of a parabola showing where the x and y intercepts, vertex, and axis of symmetry are.

The

y

-intercept is the point at which the parabola crosses the

y

-axis. The

x

-intercepts are the points at which the parabola crosses the

x

-axis. If they exist, the

x

-intercepts represent the zeros, or roots, of the quadratic function, the values of

x

at which

y

=

0

.