How is the graph of #g(x)=0.25x^2-1.1# related to the graph of #f(x)=x^2#?
Please read the explanation.
For a parabola
the x-coordinate value of the Vertex is given by
If If We have Hence, x-coordinate of the vertex is To obtain the y-coordinate value of the vertex, substitute Hence, the vertex of Since, Next, consider x-coordinate of the vertex is To obtain the y-coordinate value of the vertex, substitute Hence, the vertex of Since, Next, we will examine the graphs of both
The function Then the vertex is located at If The parabola, Vertex is at For The y-values of each point on this parabola is Hence, the graph has been stretched in the y-direction by a factor of
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The graph of ( g(x) = 0.25x^2 - 1.1 ) is related to the graph of ( f(x) = x^2 ) by a vertical translation downward by 1.1 units and a horizontal compression by a factor of 0.25.
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When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.
- What is the vertex form of the equation of the parabola with a focus at (1,-9) and a directrix of #y=-1 #?
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- How do you convert #y=x^2-2x+3 # in vertex form?
- How to use the discriminant to find out what type of solutions the equation has for #x^2 + 25 = 0#?
- How do you solve #3x^2+5x=2# by completing the square?

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