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Nataliya [291]
1 year ago
15

Use the vertex and a point on the parabola to write an equation in vertex form for the quadratic graph.

Mathematics
1 answer:
masya89 [10]1 year ago
4 0

By using the vertex and the given point of the parabola, we conclude that the equation is:

y = -1*(x - 2)^2 + 2

<h3>How to find the equation of the parabola?</h3>

For a parabola with a leading coefficient a and a vertex (h, k), the vertex form is:

y = a*(x - h)^2 + k

In this case, we can see that the vertex is (2, 2), replacing that we get:

y = a*(x - 2)^2 + 2

We also can see that the parabola passes through (0, -2) replacing that in the above equation we get:

-2 = a*(0 - 2)^2 + 2

-2 = a*4 + 2

-2 - 2= a*4

-4 = a*4

-4/4 = a

-1 = a

Then the equation for the parabola is:

y = -1*(x - 2)^2 + 2

Learn more about parabolas:

brainly.com/question/4061870

#SPJ1

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Use the Graph of the parabola to fill in the table
Andre45 [30]

Answer:

a) Upwards

b) x = -1

c) (-1,-9)

d) x intercepts; (2,0) and (-4,0)

y intercept is (0,-8)

Step-by-step explanation:

a) As we can see, the parabola faces upwards

b) To find the axis of symmetry equation, we look at the plot of the graph and see the point through the vertex of the parabola that exactly divides the parabola into two equal parts

The x-value that the line passes through here is the point x = -1 and that is the equation of the axis of symmetry

c) The vertex represents the lowest point of the circle here,

As we can see, this is the point through which the axis of symmetry passes through to make a symmetrical division of the parabola

We have the coordinates of this point as

(-1,-9)

d) The intercepts

The x-intercept are the two points in which the parabola crosses the x-axis

We have this point as 2 and -4

The x-intercepts are at the points (2,0) and (-4,0)

For the y-intercept; it is the y-coordinate of the point at which the parabola crosses the y-axis and this is the point (0,-8)

5 0
3 years ago
Beth is paid $225 per week plus a commission of $20 per sale. This week she wants to earn at least $650. If s represents the min
Dafna11 [192]

Answer:

b

Step-by-step explanation:

the answer is b because she gets paid 225 per week plus every sale so it going to be 245 she still needs 405 to get 650

Hope this helps

4 0
3 years ago
Read 2 more answers
1. Henri cut a rope into two pieces with lengths having a ratio of 5 to 2. The shorter piece is
ruslelena [56]

The length of the shorter rope is 20 cm.

<h3>How to find the original length of the rope using ratio?</h3>

He cut a rope into two pieces with lengths having a ratio of 5 to 2.

The shorter piece is 70 cm long.

The length of the original rope can be calculated as follows:

The ratio of the length of the rope is as follows;

5 : 2

let

x = length of the original rope

Therefore,

length of shorter piece = 2 / 7 × 70

length of shorter piece = 2 / 7 × 70

length of shorter piece =  140 / 7

length of shorter piece = 20 cm

Therefore, the length of the shorter rope is 20 cm.

learn more on ratio here: brainly.com/question/15418103

#SPJ1

8 0
2 years ago
Which expression is equivalent
NeTakaya

Answer:

the first one

Step-by-step explanation:

7 0
3 years ago
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Can someone help plsss!
Roman55 [17]

Well the y-intercept is +2

And the slope of the blue line is 1/2

So y=1/2x+2

Slope is rise/run (up then ((right)))

And the intercept is found where the line intercects the y line.

7 0
3 years ago
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