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When you multiply both sides by a negative number the inequality must be flipped over. You do not do that when multiplying by a positive number.
by adding, subtracting, dividing, and multiplying.
The standard equation for a Parabola with is vertex at the origin (0,0) is, x2 = 4cy if the parabola opens vertically upwards/downwards, or y2 = 4cx when the parabola opens sideways. As the focus is at (0,6) then the focus is vertically above the vertex and we have an upward opening parabola. Note that c is the distance from the vertex to the focus and in this case has a value of 6 (a positive number). The equation is thus, x2 = 4*6y = 24y
Fill in the blanks to complete the main idea and rule. ... It takes as input the number of dollars spent and returns as output the number of miles driven. Write the equation ..... Main idea: When you stretch or compress a function, you change the.
its n-10 thank me later
It is f(x) = 8x.
f(x) = |f(x)|/3
cross-multiplying
To vertically compress the function ( f(x) = x^2 ) by a factor of 8, you multiply the function by ( \frac{1}{8} ). Therefore, the equation of ( g(x) ) becomes ( g(x) = \frac{1}{8}x^2 ). This transformation reduces the output values of the original function by a factor of 8.
The slope of the line (on a linear equation) is rise over run. Meaning how far apart vertically (up and down) two points on the graph are, divided by how many units apart they are horizontally (left to right).
to simplify the equation
3 x 29 = 87
The answer to the equation 8 x 48 is 384. You can calculate this by multiplying 8 by 48 directly.
To rewrite the equation of a parabola in standard form, you need to express it as ( y = a(x - h)^2 + k ) for a vertically oriented parabola or ( x = a(y - k)^2 + h ) for a horizontally oriented parabola. Here, ( (h, k) ) represents the vertex of the parabola, and ( a ) determines its direction and width. You can achieve this by completing the square on the quadratic expression.
Reciprocal. Except that dividing by a rational equation is much easier.
2 x 41 = 82
In algebra 2, translation refers to shifting a graph or equation horizontally, vertically, or both without changing its shape or size. This is done by adding or subtracting values to the x or y coordinates of each point on the graph or equation. Translations help us explore the effects of changing variables on a given function.