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Elena-2011 [213]
4 years ago
11

The function h(x) = x2 + 14x + 41 represents a parabola.

Mathematics
2 answers:
BlackZzzverrR [31]4 years ago
5 0

to anyone who may be a lil' sus, the previous answer is correct.

defon4 years ago
3 0
Part A:

h(x)= x^{2} +14x+41

The first step of completing the square is writing the expression x^{2} +14x as (x+7)^{2} which expands to x^{2} +14x+49.

We have the first two terms exactly the same with the function we start with: x^{2} and 14x but we need to add/subtract from the last term, 49, to obtain 41. 

So the second step is to subtract -8 from the expression x^{2} +14x+49

The function in completing the square form is
h(x)= (x+7)^{2}-8

Part B:

The vertex is obtained by equating the expression in the bracket from part A to zero

x+7=0
x=-7

It means the curve has a turning point at x = -7

This vertex is a minimum since the function will make a U-shape. 
A quadratic function a x^{2} +bx+c can either make U-shape or ∩-shape depends on the value of the constant a that goes with x^{2}. When a is (+), the curve is U-shape. When a (-), the curve is ∩-shape

Part C:

The symmetry line of the curve will pass through the vertex, hence the symmetry line is x=-7

This function is shown in the diagram below




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jeka57 [31]

Answer:

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Step-by-step explanation:

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2 years ago
Which equation represents the line that passes through the points (–3, 7) and (9, –1)?
galben [10]

Answer:

Step-by-step explanation:

first, we find the slope

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(-3,7)....x1 = -3 and y1 = 7

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now we sub

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use either of ur points...I will use (-3,7)...x = -3 and y = 7

now we sub and find b, the y intercept

7 = -2/3(-3) + b

7 = 2 + b

7 - 2 = b

5 = b

so ur equation is : y = -2/3x + 5 <===

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3 years ago
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What percent of 300 is 0.6?
Alla [95]
0.002%. Just take 0.6/300 and input into a calculator.
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An equation that models the sequence 400, 200, 100, 50, ...
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For this, let's have:
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/ means divide

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3 0
3 years ago
Need help with this. Hope someone can help
DedPeter [7]

check the picture below.

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