Question: If (a,3) is a point on the parabola y = x 2 + 2x, what is a?

If (a,3) is a point on the parabola y = x2 + 2x, what is a?

Step by Step Solution

★★★★★

3.42 Rating (158 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

ANSWER To find the value of a we can substitute the given point a3 into the equation of the p... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Basic Technical Mathematics Questions!

Q:

The figure shows a point P on the parabola y = x2 and the point Q where the perpendicular bisector of OP intersects the y-axis. As P approaches the origin along the parabola, what happens to Q? Does...

Q:

1. Fill in the tables below for each of the following polynomials: [K10] a) f(x)=x-13x+3x-9 Degree Type of polynomial b) f(x)=6x4 +7x-8x+9 Degree Type of polynomial Sign of leading End behaviours...

Q:

If P(a, a 2 ) is any point on the parabola y = x 2 , except for the origin, let Q be the point where the normal line at P intersects the parabola again (see the figure). (a) Show that the...

Q:

lim (4x' + 5x - 12) 5. a. Evaluate x-+2 b. What is the meaning of this value? 6. Evaluate the following limits. x- - 16 a. lim x-4 x - 4 b. 8x3 - 5x2 + 17 lim X-+00 6x3 + 2x2 - 4x 49 + h - 7 C. lim...

Q:

What is the standard form of the equation of a circle whose diameter is 12 units and whose center is (-2, 9)? Drag an expression or value to the boxes to correctly complete the equation. ( x + 2 ) 2...

Q:

(a) Find equations of both lines through the point (2, 3) that are tangent to the parabola y = x 2 + x. (b) Show that there is no line through the point (2, 7) that is tangent to the parabola. Then...

Q:

At what point on the parabola y = 3 x 2 + 2 x is the tangent line parallel to the line y = 10 x 2 ? Use first principles in your solution.

Q:

M9 E- PRETEST Direction: Choose the letter that corresponds to the correct answer. Use the equation gtx}=x1 +2 in answering questions nos. 1-4 1. At what point does the graph intersect at x=2? a. 4...

Q:

I need help with number 3. The square root really has me confused on how to complete this. This is as far as I've gotten. Any advice helps. Find each derivative using the rules for differentiation....

Q:

1) Find all real solutions of: 4 2 2 x + x =3 2 x 4 + x23=0 4 2 2 2 x 2 x +3 x 3=0 x ( 21)=0 2 x 2 ( x 21)+ 3 ( 2 x2 +3 ) ( x 21 ) =0 ( 2 x2 +3 ) =0 2 2 x =3 3 x 2= 2 3 x= 2 3 x= i 2 2) Given the...

Q:

Preston Chemical has spent $243,000 to refine 73,000 L of acetone, which can be sold for $2.00/L. Alternatively, Preston Chemical can process the acetone further to yield a total of 58,000 L of...

Q:

Consider the following information about a European Call Option on a risk-free stock and answer the questions that follow: Stock price = $60 Exercise price = $40 Time to expiry = 9 months Risk-free...

Q:

At A 1 Enterprise, one accounting clerk prepares the cash deposits while the other clerk enters the collections in the journal and ledger. Which of the following is the best explanation of this type...

Q:

4 Show how you could use linear programming to solve the following problem: s.t. max z = 12x1 - 3x2| 4x1 + x2 4 2x1 - x2 = 0.5 x1, x20

Q:

Phobos is not a moon of Mars or Callisto is a moon of Jupiter, and Rosalind is not a moon of Uranus. Write the statement in symbolic form p: Phobos is a moon of Mars. q: Callisto is a moon of...

Q:

Fill in the blanks with an appropriate word, phrase, or symbol(s). The Egyptian hieroglyphic system and the Roman numeration system are examples of ___________ numeration systems.

Q:

Fill in the blanks with an appropriate word, phrase, or symbol(s). The Chinese numeration system is an example of a _________ numeration system.

Q:

In January 2014, the management of Stefan Company concludes that it has sufficient cash to permit some short-term investments in debt and stock securities. During the year, the following transactions...

Q:

Wilson's retail company is planning a cash budget for the next three months. Estimated sales revenue is as follows: Month Sales Revenue January $300,000 February 225,000 Month Sales Revenue March...

Q:

Consider the following investment offers regarding a product you have recently developed. A 10% interest rate should be used throughout this analysis unless otherwise specified: Offer (1) - Receive...