The Parabola
This function is a quadratic function and is called a parabola.
We will focus on two main types of parabolas: maximum and minimum parabolas.
This function is a quadratic function and is called a parabola.
We will focus on two main types of parabolas: maximum and minimum parabolas.
Also called smiling or happy.
A vertex is the minimum point of the function, where is the lowest.
We can identify that it is a minimum parabola if the equation is positive.
Also called sad or crying.
A vertex is the maximum point of the function, where is the highest.
We can identify that it is a maximum parabola if the equation is negative.
To the parabola,
the vertex marks its highest point.
How do we find it?
\( y=-4x^2+3 \)
Here we have a quadratic equation.
A quadratic equation is always constructed like this:
Where a, b, and c are generally already known to us, and the X and Y points need to be discovered.
Firstly, it seems that in this formula we do not have the C,
Therefore, we understand it is equal to 0.
a is the coefficient of X², here it does not have a coefficient, therefore
is the number that comes before the X that is not squared.
Answer:
In fact, a quadratic equation is composed as follows:
y = ax²-bx-c
That is,
a is the coefficient of x², in this case 2.
b is the coefficient of x, in this case 5.
And c is the number without a variable at the end, in this case 6.
Answer:
Let's determine the coefficients for the quadratic function given by .
Comparing these coefficients to the provided choices, the correct answer is:
.
Therefore, the correct choice is Choice 4.
Answer:
The given quadratic function is .
To identify the coefficients, let's compare this with the standard form of a quadratic equation, .
Thus, we have identified the coefficients as , , and .
Therefore, the correct answer is .
The correct choice is
Answer:
Determine the value of the coefficient in the following equation:
The quadratic equation in the problem is already arranged (meaning all terms are on one side and 0 on the other side), so let's proceed to answer the question asked:
The question asked in the problem - What is the value of the coefficient in the equation?
Let's recall the definitions of coefficients in solving quadratic equations and the roots formula:
The rule states that the roots of an equation of the form:
are:
That is the coefficient is the coefficient of the quadratic term (meaning the term with the second power)- Let's examine the equation in the problem:
Remember that the minus sign before the quadratic term means multiplication by: , therefore- we can write the equation as:
The number that multiplies the , is hence we identify that the coefficient of the quadratic term is the number ,
Therefore the correct answer is A.
Answer:
-1