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Charra [1.4K]
3 years ago
15

Which of the following statements are true of the parabola shown?

Mathematics
2 answers:
GalinKa [24]3 years ago
8 0

Answer:

Step-by-step explanation:

hey can you please help me with my question!

Vesna [10]3 years ago
3 0

<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 F(4,0) on x-axis . And so, Therefore this statement is true!

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