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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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Find the number of sides when:
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Read 2 more answers
Solve the equation. Round answers to the nearest hundredth when necessary. 4x^2 = 100
Westkost [7]
To solve 4(x-2)^2 = 16
divide each side by 4 to have (x-2)^2 = 4
take the square root of both sides
x-2 = -2 or x-2 = 2
add 2 to each side
x = 0 or x = 4
4 ( 0-2)^2 = 16
4 (-2)^2 = 16
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4 ( 4-2)^2 = 16
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4 (4) = 16 true.
the values for x are 0 and 4.
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