To determine the word or words that appropriately complete the sentence, we need to understand the specific terminology for the given form of a quadratic function.
The quadratic function is given in the form:
[tex]\[ y = ax^2 + bx + c \][/tex]
This form has the following characteristics:
- [tex]\( ax^2 \)[/tex] is the quadratic term, where [tex]\( a \)[/tex] is the coefficient of [tex]\( x^2 \)[/tex],
- [tex]\( bx \)[/tex] is the linear term, where [tex]\( b \)[/tex] is the coefficient of [tex]\( x \)[/tex],
- [tex]\( c \)[/tex] is the constant term.
Given the standard terminology in mathematics, when a quadratic function is expressed as [tex]\( y = ax^2 + bx + c \)[/tex], it is known as being in "standard form."
So, the word or words that appropriately complete the sentence are: standard form.
Therefore, the completed sentence is:
A quadratic function in the form [tex]\( y = ax^2 + bx + c \)[/tex] is said to be in standard form.
