Since you need the vertex, and knowing the vertex will tell you the axis of symmetry, it is convenient to put the equation in vertex form.
.. -x^2 -4x +1
.. = -(x^2 +4x) +1
.. = -(x^2 +4x +(4/2)^2) +1 -(-(4/2)^2) . . . . complete the square
.. = -(x +2)^2 +5
The vertex is (-2, 5).
The axis of symmetry is x = -2.
<u>ANSWER</u>
is an example of literal equation.
<u>EXPLANATION</u>
A literal equation is an equation in which letters or variables are used to represent real values.
A literal equation consists of at least two letters or variables.
The first option consists of two variables but it is not an equation. It is just an expression.
The second option is not a literal equation because it consists of only one variable. This is just a linear equation in one variable. But a literal equation should have at least two variables or letters.
As for the third option, it does not even contain a variable or letter.
Answer:
Y=-3/2x-4
Step-by-step explanation:
Point slope form is
y=mx+b
mx is the slope
and b is the y-intercept
Answer:
Controlled Experiment
Step-by-step explanation:
The controlled experiment involves the experiment in which all factors are considered as constants whereas one factor is not fixed and that one is independent variable whose effect is to be tested. In short, in controlled experiment one group of data contains control group and one or more other groups are examined by considering all other factors constant except for one factor. The control group is the group that doesn't receive any treatment whereas treatment is applied to experimental group and then effect of treatment is measured through comparing both groups.
Here group of boys is divided in to two groups
The group watched violent cartoon= Experimental group
The group watched cartoons without violence= Control group
The researchers want to know whether the violent actions of boys are linked to violent cartoon and for this purpose these boys are divided into experimental group and control group and after 1 hour of cartoons watching the researcher will observed boys for next two hours.
Hence the study is Controlled experiment.
15.90 would be your new answer