The vertex form of a quadratic function is:
f(x) = a(x - h)² + k
The coordinate (h, k) represents a parabola's vertex.
In order to convert a quadratic function in standard form to the vertex form, we can complete the square.
y = 2x² - 5x + 13
Move the constant, 13, to the other side of the equation by subtracting it from both sides of the equation.
y - 13 = 2x² - 5x
Factor out 2 on the right side of the equation.
y - 13 = 2(x² - 2.5x)
Add (b/2)² to both sides of the equation, but remember that since we factored 2 out on the right side of the equation we have to multiply (b/2)² by 2 again on the left side.
y - 13 + 2(2.5/2)² = 2(x² - 2.5x + (2.5/2)²)
y - 13 + 3.125 = 2(x² - 2.5x + 1.5625)
Add the constants on the left and factor the expression on the right to a perfect square.
y - 9.875 = 2(x - 1.25)²
Now, we need y to be by itself again so add 9.875 back to both sides of the equation to move it back to the right side.
y = 2(x - 1.25)² + 9.875
Vertex: (1.25, 9.875)
Solution: y = 2(x - 1.25)² + 9.875
Or if you prefer fractions
y = 2(x - 5/4)² + 79/8
Answer:
ΑΔΒ = ΒΔΑ because Δ stands for the difference between two numbers and the difference between two numbers doesn't change when switched to the other side.
Answer:
HIIIIIIII NMMNDKK F.
Step-by-step explanation:
He'll make 7 cuts. If you can't see that that is the answer, draw a diagram.
<span>7 * 5 = ?</span>
can be simplified to by adding the 7 and 10 to get
.
cannot be simplified any more by combining like terms.
By distributing the 2b into the parentheses, you can simplify the expression:
Here you can just add:
Thus, the only expression that cannot simplify any more using adding like terms is the second,
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