Write the given equation in standard form. −7x−5y=3
1 answer:
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Answer:
f^-1(x) = 4x^2 -3 . . . . x ≤ 0
Step-by-step explanation:
Interchange x and y, then solve for y.
x = -1/2√(y+3)
-2x = √(y +3)
4x^2 = y +3
4x^2 -3 = y
Note that the range of the function f(x) is f(x) ≤ 0, so this will be the domain of the inverse function. Then the inverse function is ...
f^-1(x) = 4x^2 -3 . . . . for x ≤ 0
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The attached graph shows this inverse function is a reflection of the function across the line y=x, as it should be.
To find Jenny's age as a percentage of her great grandmother's age :
<h3><u>Option C</u></h3><h3><u>The vertex form of the equation is:</u></h3>
<em><u>Solution:</u></em>
<em><u>The vertex form of equation is given as:</u></em>
Where, (h, k) is the vertex
Given that,
We have to find the vertex form of equation
Step 1:
Complete the square for
a = 1
b = -6
c = 14
Consider the vertex form of a parabola.
Substitute the values of a and b into following:
Find the value of "e" using following formula:
Substitute the values of a, d, e in eqn 1
Thus vertex form form is found. Option C is correct