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Art [367]
11 months ago
6

What are the steps to a graph a quadratic function

Mathematics
1 answer:
Illusion [34]11 months ago
6 0

You need 3 points to graph a quadratic function.

It is advisable that one of these points be the vertex, because the line of symmetry passes through it

Next, you need to find two other points that lie on the curve, replacing an x-value into the function and calculating the y-value. It is easier if these two points are at the same distance from the line of symmetry.

For example, if the quadratic function is y = (x - 4)² + 3, the vertex is located at (4, 3). Replacing with x = 3 into the equation, we get:

y = (3 - 4)² + 3

y = 1 + 3

y = 4

Replacing with x = 5 into the equation, we get:

y = (5 - 4)² + 3

y = 1 + 3

y = 4

Now, we need to connect the points (3, 4), (4, 3), and (5, 4) with a U shape, as follows:

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Write <br> 0.925<br><br> as a fraction in simplest form.
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3 years ago
Substitute the value in for the variable. Then solve. Remember your order of operations!
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Answer:

4

Step-by-step explanation:

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2 years ago
Simplify and solve for x. ​ ​ 5(x+20)= 7x+30
hodyreva [135]

Answer:

x = 35

Step-by-step explanation:

Solve for x:

5 (x + 20) = 7 x + 30

Expand out terms of the left hand side:

5 x + 100 = 7 x + 30

Subtract 7 x from both sides:

(5 x - 7 x) + 100 = (7 x - 7 x) + 30

5 x - 7 x = -2 x:

-2 x + 100 = (7 x - 7 x) + 30

7 x - 7 x = 0:

100 - 2 x = 30

Subtract 100 from both sides:

(100 - 100) - 2 x = 30 - 100

100 - 100 = 0:

-2 x = 30 - 100

30 - 100 = -70:

-2 x = -70

Divide both sides of -2 x = -70 by -2:

(-2 x)/(-2) = (-70)/(-2)

(-2)/(-2) = 1:

x = (-70)/(-2)

The gcd of -70 and -2 is -2, so (-70)/(-2) = (-2×35)/(-2×1) = (-2)/(-2)×35 = 35:

Answer: x = 35

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