the general form of a quadratic equation is $ax^2 + bx + c = 0$. this form is also known as the \underline{\hspace{5cm}} form.

the part of the quadratic formula under the square root is called the \underline{\hspace{5cm}}.

the highest or lowest point of a parabola represents the \underline{\hspace{5cm}} value.

the point at which total revenue equals total cost in a business model is known as the \underline{\hspace{5cm}}.

the process of rewriting a quadratic expression as a product of binomials is called \underline{\hspace{5cm}}.

the method that transforms a quadratic equation into a perfect square trinomial is \underline{\hspace{5cm}}.

the u - shaped graph of a quadratic equation is called a \underline{\hspace{5cm}}.

Question

the general form of a quadratic equation is $ax^2 + bx + c = 0$. this form is also known as the \underline{\hspace{5cm}} form.

the part of the quadratic formula under the square root is called the \underline{\hspace{5cm}}.

the highest or lowest point of a parabola represents the \underline{\hspace{5cm}} value.

the point at which total revenue equals total cost in a business model is known as the \underline{\hspace{5cm}}.

the process of rewriting a quadratic expression as a product of binomials is called \underline{\hspace{5cm}}.

the method that transforms a quadratic equation into a perfect square trinomial is \underline{\hspace{5cm}}.

the u - shaped graph of a quadratic equation is called a \underline{\hspace{5cm}}.

Accepted Answer

### First Question:
# Brief Explanations:
The general form $ ax^2 + bx + c = 0 $ of a quadratic equation is also called the standard form. This is a fundamental term in quadratic equation terminology.
# Answer:
standard

### Second Question:
# Brief Explanations:
In the quadratic formula $ x=\frac{-b\pm\sqrt{b^{2}-4ac}}{2a} $, the part under the square root, $ b^{2}-4ac $, is called the discriminant. It determines the nature of the roots of the quadratic equation.
# Answer:
discriminant

### Third Question:
# Brief Explanations:
The highest or lowest point of a parabola (the graph of a quadratic function) is called the vertex. The $ y $-coordinate of the vertex represents the maximum or minimum value of the quadratic function.
# Answer:
maximum or minimum (vertex - related value, more precisely the vertex's y - value represents max/min, but the blank is likely for "maximum" or "minimum" or "vertex" - but in context of "value", it's maximum or minimum. However, the vertex is the point, and its y - value is the max/min value. So the answer is "maximum" or "minimum" (or "vertex" but the wording is "value", so max/min). But typically, the highest or lowest point (vertex) has a y - value that is the maximum or minimum value. So the answer is "maximum" (if $ a<0 $) or "minimum" (if $ a > 0 $), but the term for the value is maximum or minimum. However, the standard term here is that the vertex represents the maximum or minimum value. So the answer is "maximum" or "minimum" (often "extreme" but more precisely max or min). But in quadratic function terms, the vertex's y - coordinate is the maximum (if opening down) or minimum (if opening up) value. So the answer is "maximum" or "minimum" (or "extreme"). But the most common fill - in is "maximum" or "minimum" or "vertex" (but "value" so max/min).
# Answer:
maximum (or minimum, or extreme)

### Fourth Question:
# Brief Explanations:
In a business model, the point where total revenue ($ R $) equals total cost ($ C $) (i.e., $ R = C $) is called the break - even point. At this point, the business neither makes a profit nor incurs a loss.
# Answer:
break - even point

### Fifth Question:
# Brief Explanations:
The process of rewriting a quadratic expression (like $ ax^{2}+bx + c $) as a product of two binomials (e.g., $ (mx + n)(px+q) $) is called factoring (or factorization).
# Answer:
factoring (factorization)

### Sixth Question:
# Brief Explanations:
The method of transforming a quadratic equation $ ax^{2}+bx + c = 0 $ into a perfect square trinomial is called completing the square. For example, for $ x^{2}+bx $, we add and subtract $ (\frac{b}{2})^{2} $ to make it $ (x+\frac{b}{2})^{2}-\frac{b^{2}}{4} $.
# Answer:
completing the square

### Seventh Question:
# Brief Explanations:
The U - shaped graph of a quadratic equation (quadratic function) is called a parabola. It is the graph of a quadratic function $ y = ax^{2}+bx + c $ ($ a
eq0 $).
# Answer:
parabola

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