Chapter 10: Q 7. (page 643)

Answer the following problem using the figure,
If a > 0 the equation of the parabola is of the form:
$a) {(y - k)}^{2} = 4 a (x - h) b) {(y - k)}^{2} = - 4 a (x - h) c) {(x - h)}^{2} = 4 a (y - k) d) {(x - h)}^{2} = - 4 a (y - k)$

Short Answer

Expert verified

The correct option is option (c).

Step by step solution

Step 1. Given information.

We have given equations of the parabola is,

$a) {(y - k)}^{2} = 4 a (x - h) b) {(y - k)}^{2} = - 4 a (x - h) c) {(x - h)}^{2} = 4 a (y - k) d) {(x - h)}^{2} = - 4 a (y - k)$

We have given graph is,

Step 2. Concept used.

The general equation of the parabola is,

${(y - k)}^{2} = 4 a (x - h) a n d {(x - h)}^{2} = 4 a (y - k)$

Step 3. Explanation.

We have given graph is the graph of upward parabola.

Hence, equation of the given parabola is,

${(x - h)}^{2} = 4 a (y - k)$ .

Step 4. Conclusion.

Hence, If $a > 0$ then equation of the parabola is ${(x - h)}^{2} = 4 a (y - k)$ .

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Answer the following problem using the figure,
If a > 0 the equation of the parabola is of the form:
$a) {(y - k)}^{2} = 4 a (x - h) b) {(y - k)}^{2} = - 4 a (x - h) c) {(x - h)}^{2} = 4 a (y - k) d) {(x - h)}^{2} = - 4 a (y - k)$

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

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Answer the following problem using the figure,If a > 0 the equation of the parabola is of the form:a)y-k2=4ax-hb)y-k2=-4ax-hc)x-h2=4ay-kd)x-h2=-4ay-k

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Concept used.

Step 3. Explanation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

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Study anywhere. Anytime. Across all devices.

Answer the following problem using the figure,
If a > 0 the equation of the parabola is of the form:
$a) {(y - k)}^{2} = 4 a (x - h) b) {(y - k)}^{2} = - 4 a (x - h) c) {(x - h)}^{2} = 4 a (y - k) d) {(x - h)}^{2} = - 4 a (y - k)$