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3 years ago

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

1 answer:

8 0

Answer and Step-by-step explanation: Standard form of a quadratic equation is expressed as: y=ax²+bx+c, while vertex form 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 minimum (when a>0) or maximum (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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Television sizes are measured on the diagonal Tony's television length is 42 inches and the television width is 31 inches what i

ValentinkaMS [17]

Answer:

52 in approx

Step-by-step explanation:

Given data

Length of TV= 42 in

Widht of TV= 31 in

Required

The diagonal of the TV

Applying the Pythagoras theorem

D^2= L^2+W^2

D= √L^2+W^2

D= √42^2+31^2

D=√1764+961

D=√2725

D=52.20 in

Hence the diagonal of the Tv is 52 in approx

8 0

3 years ago

3.7 + 1.13 X 2.9-5.5 =

Marta_Voda [28]

Answer:

Step-by-step is 1.477

8 0

3 years ago

Read 2 more answers

F(x) = -x² + 6 Find f(-3).

stepan [7]

Answer:

Step-by-step explanation:

f(-3)= -(-3)^2+6= -9 + 6 = -3

6 0

3 years ago

Read 2 more answers

The population of a town is decreasing at a rate of 3.2% per year. In 2015, there were 14,250 people. What is the first year tha

notsponge [240]

The answer is D
you would set up an equation like this
14,250 x .032
this will give you how much the population is decreasing per year. Which is 456 people per year.
You then take 2015 and find the difference between that number and 2025 and do it with all of the other years too.
For example 2025-2015 is 10 years
You then take 10 x 456 to tell you how much the of population you lost in those 10 years. You will then take that number which is 4,560 and do 14,250-4,560 to get 9,650.

4 0

2 years ago

Let f(x)=x+3 and g(x)=1/x. The graph of (f*g)(x) is shown below.

Vlad [161]

For this case we have the following functions:
$f (x) = x + 3

g (x) = 1 / x$ When composing the functions we have:
$(fog) (x) = f (g (x))
$
Substituting values we have:
$(fog) (x) = ((1 / x) +3)
$
Rewriting:
$(fog) (x) = 1 / x + 3
$
The function has a horizontal asymptote at y = 3.
Therefore, the range of the function is all reals minus y = 3.
Answer:
option 3

3 0

3 years ago