Respuesta :
Answer:
The vertex would be (5, -23)
Step-by-step explanation:
To find this, we need to start by finding the x value of the vertex. We do so by using -b/2a, in which b is the coefficient of the x term and a is the coefficient of the x^2 term.
-b/2a
-(-10)/2(1)
10/2
5
Now that we have the x value, we can plug into the equation to find the y value
y = x^2 - 10x + 2
y = 5^2 - 10(5) + 2
y = 25 - 50 + 2
y = -23
Answer:
The vertex of given equation is (5,-23).
Step-by-step explanation:
We have given an equation:
y= x² - 10x+2
We have to find the vertex of given equation.
y= (x-a)²+b is vertex form of quadratic equation where ( a,b) is vertex of equation.
Adding and subtracting (-5)² to given equation, we have
y = x²-2(5)(x)+2+(-5)²-(-5)²
y = (x-5)²+2-25
y = (x-5)²-23
Comparing to the vertex form , we have,
a = 5 and b = -23
Hence, the vertex of given equation is (5,-23).