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Otrada [13]
3 years ago
15

What are the similarities and differences between the standard form and vertex form of a quadratic equation?

Mathematics
1 answer:
guajiro [1.7K]3 years ago
8 0

Answer and Step-by-step explanation: <u>Standard</u> <u>form</u> of a quadratic equation is expressed as: y=ax²+bx+c, while <u>vertex</u> <u>form</u> is written as:

y=a(x-h)²+k.

The similarities between standard and vertex forms is that they show if the graph of the equation has a <u>minimum</u> (when a>0) or <u>maximum</u> (a<0) and it's easier to determine the y-intercept: for standard, the value of c is the intercept; for vertex, the value k is the intercept.

The advantage of standard form is that you can determine the product and sum of the equation's roots, which is a method to determine them.

The advantages of vertex form are: easier to find the vertex of the graph, which is the pair (h,k) and the axis of symmetry, which is the value of h.

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5 0
3 years ago
The point (2,-5) is on the graph of which equation?
elena55 [62]
The answer is A,
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8 0
3 years ago
Read 2 more answers
A process of inserting points between actual plotted data points or extending an actual line of data is called:
german

The <em>correct answer</em> is:


interpolating


Explanation:


Interpolation is a method of constructing new data points within the range of a discrete set of known data points.


This would include inserting data points between two known points and extending a data set.

4 0
3 years ago
7 (1) = 7 is an example of what property?
Kitty [74]

Answer:

Identity property

Step-by-step explanation:

Identity property of multiplication: The product of 1 and any number is that number. For example, 7 × 1 = 7 7 \times 1 = 7 7×1=77, times, 1, equals, 7.

I hope it's helpful!

5 0
2 years ago
The bases of a trapezoid are 11 meters and 14 meters. Its height is 10 meters. What is the area of the trapezoid?
kenny6666 [7]
Area of Trapezoid = (1/2) * (Sum of bases) * height

Area =   (1/2) * (11 + 14) * 10

        =    (1/2) * 25 * 10   =    5 *25 = 125

Area = 125 m²
4 0
3 years ago
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