Respuesta :
Answer:
Step-by-step explanation:
A nonlinear function that can be written on the standard form
ax2+bx+c,wherea≠0ax2+bx+c,wherea≠0
is called a quadratic function.
All quadratic functions has a U-shaped graph called a parabola. The parent quadratic function is
y=x2y=x2
The lowest or the highest point on a parabola is called the vertex. The vertex has the x-coordinate
x=−b2ax=−b2a
The y-coordinate of the vertex is the maximum or minimum value of the function.
a > 0 parabola opens up minimum value
a < 0 parabola opens down maximum value
A rule of thumb reminds us that when we have a positive symbol before x2we get a happy expression on the graph and a negative symbol renders a sad expression.
The vertical line that passes through the vertex and divides the parabola in two is called the axis of symmetry. The axis of symmetry has the equation
x=−b2ax=−b2a
The y-intercept of the equation is c.
When you want to graph a quadratic function you begin by making a table of values for some values of your function and then plot those values in a coordinate plane and draw a smooth curve through the points.
Answer:
[tex]m>-4[/tex] is the solution set.
Step-by-step explanation:
To graph the solution set of the given inequality:
- First, we need to graph the expression as an equality: [tex]-3m+18=30[/tex].
- Then, we must evalue a test point (0,0), to know which area is solution, the upper area or the lower area.
- Finally, we ensure that the line is non solid, because the inequality sign doesn't include a relation of equivalence.
The image attached shows the area of solution to the give inequality.
