Plotting the graph of the quadratic function and examining the roles of the parameters in the function of the form
Plotting the graph of the quadratic function and examining the roles of the parameters in the function of the form
– the coefficient of .
– the coefficient of .
– the constant term.
What is the value of the coefficient \( c \) in the equation below?
\( 3x^2+5x \)
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:
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
What is the value of the coefficient in the equation below?
The quadratic equation is given as . This equation is in the standard form of a quadratic equation, which is , where , , and are coefficients.
From this analysis, we can see that the coefficient is .
Therefore, the value of the coefficient in the equation is .
Answer:
-2