Answer:
A. In vertex form, f(x) = 2(x - 2)² +1 and therefore has a minimum value of 1.
Step-by-step explanation:
Function is given as;
f(x) = 2x² - 8x + 9
From quadratic formula, we know that;
a = 2
b = -8
c = 9
Now, x-coordinate of the vertex is;
x = -b/2a
x = -(-8)/2(2)
x = 2
Let's find the y-coordinate;
f(2) = 2(2)² - 8(2) + 9
f(2) = 8 - 16 + 9
f(2) = 1
Thus, y-coordinate = 1
This means the vertex coordinate is (2, 1)
Now, vertex form of a quadratic equation is;
f(x) = a(x - h)² + k
Where, (h, k) is the coordinate of the vertex and a is the first term as earlier seen.
Thus;
f(x) = 2(x - 2)² + 1
Now, the leading coefficient is positive and so it means that the parabola will open upwards and thus, will have a minimum value of 1.
I hope this helps you
2x and 8x+40 complementary angles
their sum is 180
2x+8x+40=180
10x=140
x=14
Answer:
.
Step-by-step explanation:
(x+2)(x+4)
=x(x+4)+2(x+4)
=x²+4x+2x+8
=x²+6x+8
Answer:
x is form
Step-by-step explanation:
Based on the calculations on these invertible functions, f⁻¹(f(6.022)) is equal to 6.022 and f⁻¹(-10) + f(-6) is equal to -16.
<h3>What is an
invertible function?</h3>
An invertible function refers to a type of function that is obtained by reversing the operation of a given function (f(x)).
In Mathematics, a function and its inverse function has the following property f⁻¹(f(x)) = x. By applying this property, we have:
f⁻¹(f(6.022)) = 6.022.
From the table, we have:
f⁻¹(-10) = -6
f(-6) = -10
Therefore, f⁻¹(-10) + f(-6) is given by:
f⁻¹(-10) + f(-6) = -6 - 10
f⁻¹(-10) + f(-6) = -16.
Read more on invertible function here: brainly.com/question/15635761
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