Answer:
C: (3,1)
Step-by-step explanation:
y = -4x² + 24x - 35
y = -4(x² - 6x) - 35
y = -4[x² - 2(x)(3) + 3² - 3²] - 35
y = -4(x - 3)² -4(-9) - 35
y = -4(x - 3)² + 36 - 35
y = -4(x - 3)² + 1
Vertex (3,1)
Answer:
Step-by-step explanation:
We are given that

Function f decreases from quadrant 2 to quadrant 1 and approaches y=0
It cut the y- axis at (0,6) and passing through the point (1,2).
Function g(x) approaches y=0 in quadrant 2 and increases into quadrant 1.
It passing through the point (-1,2) and cut the y-axis at point (0,6).
Reflection across y- axis:
Rule of transformation is given by

Using the rule then we get

By using

Substitute x=-1

Substitute x=0

Therefore,
is true.
Answer:
Step-by-step explanation:
To find the inverse function, solve for y:
![x=f(y)\\\\x=4y^4\\\\\dfrac{x}{4}=y^4\\\\\pm\sqrt[4]{\dfrac{x}{4}}=y\\\\f^{-1}(x)=\pm\sqrt[4]{\dfrac{x}{4}}](https://tex.z-dn.net/?f=x%3Df%28y%29%5C%5C%5C%5Cx%3D4y%5E4%5C%5C%5C%5C%5Cdfrac%7Bx%7D%7B4%7D%3Dy%5E4%5C%5C%5C%5C%5Cpm%5Csqrt%5B4%5D%7B%5Cdfrac%7Bx%7D%7B4%7D%7D%3Dy%5C%5C%5C%5Cf%5E%7B-1%7D%28x%29%3D%5Cpm%5Csqrt%5B4%5D%7B%5Cdfrac%7Bx%7D%7B4%7D%7D)
f(x) is an even function, so f(-x) = f(x). Then the inverse relation is double-valued: for any given y, there can be either of two x-values that will give that result.
___
A function is single-valued. That means any given domain value maps to exactly one range value. The test of this is the "vertical line test." If a vertical line intersects the graph in more than one point, then that x-value maps to more than one y-value.
The horizontal line test is similar. It is used to determine whether a function has an inverse function. If a horizontal line intersects the graph in more than one place, the inverse relation is not a function.
__
Since the inverse relation for the given f(x) maps every x to two y-values, it is not a function. You can also tell this by the fact that f(x) is an even function, so does not pass the horizontal line test. When f(x) doesn't pass the horizontal line test, f^-1(x) cannot pass the vertical line test.
_____
The attached graph shows the inverse relation (called f₁(x)). It also shows a vertical line intersecting that graph in more than one place.
Answer:
The sum of the angles that do not measure 22 degrees is equal to 316°
Step-by-step explanation:
The question in English is
A rhombus has a 22-degree angle. How much is the sum of its angles that do not measure 22 degrees worth?
we know that
The opposite internal angles of a rhombus are equal and the adjacent internal angles are supplementary
so
Let
x -----> the measure of an adjacent angle to 22 degrees in the rhombus
x+22°=180°
x=180°-22°=158°
therefore
The sum of the angles that do not measure 22 degrees is equal to
158°+158°=316°
SSS I’m pretty sure . I’m doing the same thing in math rn