F f(x) = 2x2 + 1 and g(x) = x2 – 7, find (f + g)(x).
1 answer:
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<u>True statements are:</u>
- It has a directrix of x = - 4.
- It has a focus at (4, 0).
<u>Step-by-step explanation:</u>
We have the following statements to check on whether it's right or wrong:
<u>1. It has a directrix of x = -4:</u>
According to figure , parabola directrix is at -4 i.e. at x = -4 , Therefore this statement is true!
<u>2. It opens to the left:</u>
In figure, Parabola opens to right not left , Therefore this statement is wrong!
<u>3. It has a vertex at the origin:</u>
Vertex of Parabola is at what points not shown in figure. Therefore this statement cannot be confirmed as true.
<u>4. The axis of symmetry is the y-axis:</u>
Axis of symmetry for above parabola is x-axis as it cuts parabola into two equal halves , y-axis doesn't do this ! Therefore this statement is wrong!
<u>5. It has a focus at (4, 0):</u>
Parabola focus is at on x-axis . And so, Therefore this statement is true!