Which equation represents a linear function? (A) y=-x^(2)-4 (B) -3x^(2)+1=y (C) y=x^(2) (D) x+2=y

Identify Quadratic Functions: A linear function is of the form y = mx + b, where m and b are constants, and x is the variable. The graph of a linear function is a straight line. Let's examine each equation to see if it fits this form.Analyze Equations: First, look at the equation y = -x^2 - 4. This is a quadratic function, not a linear function, because it has the term x^2, which makes the graph a parabola.Check for Linearity: Next, examine the equation -3x^2 + 1 = y. This is also a quadratic function because of the x^2 term. It is not linear.Identify Linear Function: Then, consider the equation y = x^2. This is another quadratic function due to the x^2 term. It is not linear.Finally, look at the equation x + 2 = y. This can be rewritten as y = x + 2, which is in the form of a linear function, y = mx + b, where m = 1 and b = 2.Since the equation x + 2 = y is the only one that fits the form of a linear function, it is the correct answer.

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Which equation represents a linear function?
(A) y=-x^(2)-4
(B) -3x^(2)+1=y
(C) y=x^(2)
(D) x+2=y

Which equation represents a linear function? $\newline$ (A) $y=-x^{2}-4$ $\newline$ (B) $-3 x^{2}+1=y$ $\newline$ (C) $y=x^{2}$ $\newline$ (D) $x+2=y$

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Algebra 2

Quadratic equation with complex roots

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Q. Which equation represents a linear function?

\newline

(A)

y=-x^{2}-4

\newline

(B)

-3 x^{2}+1=y

\newline

(C)

y=x^{2}

\newline

(D)

x+2=y

Identify Quadratic Functions: A linear function is of the form $y = mx + b$ , where $m$ and $b$ are constants, and $x$ is the variable. The graph of a linear function is a straight line. Let's examine each equation to see if it fits this form.
Analyze Equations: First, look at the equation $y = -x^2 - 4$ . This is a quadratic function, not a linear function, because it has the term $x^2$ , which makes the graph a parabola.
Check for Linearity: Next, examine the equation $-3x^2 + 1 = y$ . This is also a quadratic function because of the $x^2$ term. It is not linear.
Identify Linear Function: Then, consider the equation $y = x^2$ . This is another quadratic function due to the $x^2$ term. It is not linear.
Identify Linear Function: Then, consider the equation $y = x^2$ . This is another quadratic function due to the $x^2$ term. It is not linear.Finally, look at the equation $x + 2 = y$ . This can be rewritten as $y = x + 2$ , which is in the form of a linear function, $y = mx + b$ , where $m = 1$ and $b = 2$ .
Identify Linear Function: Then, consider the equation $y = x^2$ . This is another quadratic function due to the $x^2$ term. It is not linear.Finally, look at the equation $x + 2 = y$ . This can be rewritten as $y = x + 2$ , which is in the form of a linear function, $y = mx + b$ , where $m = 1$ and $b = 2$ .Since the equation $x + 2 = y$ is the only one that fits the form of a linear function, it is the correct answer.