Question

which of the following equations matches standard form of a quadratic? ax + by = c y = mx + b y = a(x - h)^2 + k y = ax^2+bx + c

Explanation:

Step1: Recall standard form of quadratic

The standard form of a quadratic equation is $y = ax^{2}+bx + c$, where $a$, $b$, and $c$ are constants and $a
eq0$.

Step2: Analyze given equations

• $ax+by = c$ is a linear - equation in two variables.
• $y=mx + b$ is the slope - intercept form of a linear equation.
• $y=a(x - h)^{2}+k$ is the vertex form of a quadratic equation.
• $y = ax^{2}+bx + c$ is the standard form of a quadratic equation.

Answer:

$y = ax^{2}+bx + c$