Fill in the blanks so that the resulting statements are true.

The function y equals ax squared plus bx plus c or f left parenthesis x right parenthesis equals ax squared plus bx plus c​, anot equals​0, is called​ a/an _________ function. The graph of this function is called a​ _________. The​ vertex, or turning​ point, occurs where x equals​___.
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Part 1
The function y equals ax squared plus bx plus c or f left parenthesis x right parenthesis equals ax squared plus bx plus c​, anot equals​0, is called​ a/an

logarithmic
linear
exponential
quadratic
function. The graph of this function is called​ a/an

parabola.
line.
ellipse.
The​ vertex, or turning​ point, occurs where xequals

StartFraction negative b Over a EndFraction .
StartFraction negative b Over 2 EndFraction .
0.
StartFraction negative b Over 2 a EndFraction .
StartFraction b Over 2 EndFraction .
StartFraction b Over a EndFraction .
StartFraction b Over 2 a EndFraction .

1 answer

The function \( y = ax^2 + bx + c \) or \( f(x) = ax^2 + bx + c \), where \( a \neq 0 \), is called a/an quadratic function. The graph of this function is called a/an parabola. The vertex, or turning point, occurs where \( x = \frac{-b}{2a} \).