Answer:
y= -4x^2 + 15x - 14
Step-by-step explanation:
A parabola is always in the form y = ax^2 + bx + c.
Substitute each point to produce different equations:
-14 = 0a + 0b + c = c
so c = -14
-3 = a1^2 + b1 + c = a + b - 14
so a + b = 11
0 = a2^2 + b2 + c = 4a + 2b -14 = 0
so 4a + 2b = 14
if we double a + b = 11 we get 2a + 2b = 22
Subtract this from 4a + 2b = 14 and we get 2a = -8 so a= -4 and b = 11 - a = 15
We don't need to use the (3,5) points as we have all the information we need.
 
        
                    
             
        
        
        
The completely factored equation is (a²b - 5)(4a²b - 1)
<h3>How to factor equation?</h3>
4a⁴b² - 21a²b + 5 = 0
let's expand the equation
Therefore,
4a⁴b² - 21a²b + 5 = 0
4a⁴b² - 20a²b  - a²b + 5 = 0
Rearrange the equation
4a⁴b² - a²b  - 20a²b + 5 = 0
Let's factorise the equation
 4a⁴b² - a²b  - 20a²b + 5 = 0
a²b(4a²b - 1) - 5(4a²b - 1) = 0
Therefore, the completely factored equation is as follows:
a²b(4a²b - 1) - 5(4a²b - 1) = 0
(a²b - 5)(4a²b - 1)
learn more on equation here: brainly.com/question/8842252
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False, vertical angles are not next to each other but opposite of each other