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Step2247 [10]
3 years ago
11

Suppose a parabola has an axis of symmetry at x = -2, a minimum height at -6, and passes through the point (0, 10). Write the eq

uation of the parabola in vertex form.
Mathematics
1 answer:
lesantik [10]3 years ago
3 0
What answer choices that you have 
You might be interested in
Write the equation of the parabola in vertex form.
givi [52]

Answer: -9 = a(1 - 3)² + 3

Step-by-step explanation:

Vertex Form Equation:

y = a(x - h)² + k

vertex: (h, k) which means

h = 3

k = 3

because your vertex is (3, 3).

Your point is (1, -9) which is (x, y).

This means

x = 1

y = -9

Now, plug everything into your Vertex Form Equation:

-9 = a(1 - 3)² + 3

That’s your equation and final answer, but of course, if you need to, you can solve for a if you need to.

If a is positive, the parabola opens up. If a is negative, the parabola opens down.

Hope this helps!

3 0
3 years ago
The sum of a number and twice its reciprocal is 3. What are the numbers?
qwelly [4]

Let no be x

Acc to ques

X + 2(1/x) = 3

X + 2/x = 3

X^2 + 2 = 3x

X^2 - 3x + 2 = 0

X^2 - x - 2x + 2 = 0

X (x-1) - 2 (x-1) = 0

(x-2) (x-1) = 0

X= 2 or x =1

If this answer was helpful then please mark it as the brianliest

3 0
3 years ago
Write the percent as a fraction and as a decimal.
s2008m [1.1K]
2% -decimal 0.02
2%- fraction 1/50
4- fraction 2/5
4-decimal0.04
4 0
3 years ago
Given two complementary angles, 3x and (x - 2). Find the value of x.
ohaa [14]

Answer:

x = 23°

Step-by-step explanation:

Note: Complementary angles measure 90°

3x + (x - 2)° = 90°

=> 3x + x - 2° = 90°

=> 4x - 2° = 90°

Add the additive inverse of -2 to both sides of the equation

i.e 4x - 2° + 2° = 90° + 2°

=> 4x = 92°

Divide both sides of the equation by the coefficient of x which is 4

=> 4x/4 = 92°/4

x = 23°

6 0
3 years ago
determine if the ordered pair is a solution of the equation is (2,4) a solution of y = 10 -3×? true or false​
anzhelika [568]

Answer:

False

Step-by-step explanation:

4 = 10 - 3²

4 = 10 - 9

4 = 1

7 0
3 years ago
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