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Maru [420]
3 years ago
15

Use the graph of f(x) = x2 to write an equation for the function represented by each graph.

Mathematics
1 answer:
MariettaO [177]3 years ago
7 0

Answer:

y = -(x + 2)² + 1

Step-by-step explanation:

Parent function given in the graph is a quadratic function,

f(x) = x²

Since, graph is opening downwards transformed function of the preimage will be,

g(x) = -x²

This transformed function is shifted further by 2 units left horizontally and 1 unit upwards.

Therefore, rule for the transformation will be,

g(x) → h[(x + 2), (y + 1)]

By this rule transformed function will be,

h(x) = -(x + 2)²+ 1

Equation of the curve will be,

y = -(x + 2)² + 1

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What fraction of £2 is 50p
Natali [406]
You need to remember that 100 pence = 1 pound sterling.
Halve both sides:                    50 pence = 1/2 pound sterling
                                                200 pence = <span>£2
</span>
                                50 pence          50 pence
Thus 50 p/ <span>£2   = ------------------ = ------------------  = 1/4
                              </span>£2                     200 pence

50 p is 1/4 of <span>£2.</span>
5 0
3 years ago
What is the value of x if...<br> 9x - 4 - 4x = 8 + 3x
Ierofanga [76]

Hello!

Answer:

x=6

Step-by-step explanation:

Hope this helps!

7 0
2 years ago
According to the table, what was the hiker’s total displacement?
shtirl [24]

Answer:

A: 0

Step-by-step explanation:

Important to remember - total displacement is the direct distance between the start and finish points, and isn't always equal to the total distance travelled.

In the case of the table above, the hiker travels the same distance in opposite directions, which actually means they cancel each other out! Traveling 4 km to the west, then 4 km to east means you end up in the same spot, right? So your total displacement is 0! (or 4 - 4, which equals 0). Same happens with the north-south hikes - the hiker ends up in the same spot, as the displacement is equal to 6 - 6 = 0.

So, the total displacement of the hiker is 0. (Even though the hiker travelled 20 km!)

7 0
2 years ago
What is the equation in point slope form of a line that passes through the point (–8, 2) and has a slope of 1/2?
Kamila [148]
Point slope equation: 
y-y1=m(x-x1) 
m=slope

So we simply plug in our given information: 
x1=-8 
y1=2
m=1/2

y-2=1/2(x-(-8)  

2 minus signs next to each other make a positive 

Final answer: 
y-2=1/2(x+8)
6 0
2 years ago
Help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
lidiya [134]
2x^2 - quadratic - monomial
-2 - constant - monomial
3x - 9 - linear - binomial
-3x^2 - 6x + 9 - quadratic - trinomial


3 0
3 years ago
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