Mathematics, 25.12.2019 00:31 bossboybaker

Can i get with these two questions

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Answer from: jordan2875

3. (D) 6x² + 4x - 5

Step-by-step explanation:

Use the standard form of a quadratic equation y = ax² + bx + c and input the given coordinates to create three equations. Then solve the system of equations.

(0, -5) → -5 = a(0)² + b(0) + c

-5 = 0 + 0 + c

-5 = c

(-1, -3) → -3 = a(-1)² + b(-1) + (-5)

-3 = a - b - 5

2 = a - b

(1, 5) → 5 = a(1)² + b(1) + (-5)

5 = a + b - 5

10 = a + b

2 = a - b

+ 10 = a + b

12 = 2a

÷2 ÷2

6 = a

Input a = 6 into either equation to solve for b:

10 = a + b

10 = 6 + b

4 = b

Input a = 6, b = 4, and c = -5 into the standard form of a quadratic equation:

$\boxed{y=6x^2+4x-5}$

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4. (D) -2x² - 2x + 4

Step-by-step explanation:

Use the standard form of a quadratic equation y = ax² + bx + c and input the given coordinates to create three equations. Then solve the system of equations.

(0, 4) → 4 = a(0)² + b(0) + c

4 = 0 + 0 + c

4 = c

(-3, -8) → -8 = a(-3)² + b(-3) + (4)

-8 = 9a - 3b + 4

-12 = 9a - 3b

(2, -8) → -8 = a(2)² + b(2) + (4)

-8 = 4a + 2b + 4

-12 = 4a + 2b

-12 = 9a - 3b → 2(-12 = 9a - 3b) → -24 = 18a - 6b

-12 = 4a + 2b → 3(-12 = 4a + 2b) → -36 = 12a + 6b

-60 = 30a

÷30 ÷30

-2 = a

Input a = -2 into either equation to solve for b:

-12 = 4a + 2b

-12 = 4(-2) + 2b

-12 = -8 + 2b

-4 = 2b

-2 = b

Input a = -2, b = -2, and c = 4 into the standard form of a quadratic equation:

$\boxed{y=-2x^2-2x+4}$

Answer from: Quest

Ithink the answer will be d yes

Answer from: Quest

step-by-step explanation:

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You know the right answer?

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