At how many points do the two graphs named as "First Graph" and "Second Graph" intersect?

1) The Equation of the first graph is x^2 + y^2 = 4
2) The second graph is a parabola with Y-Intercept -5

Source: http://www.GMATinsight.com
_________________

Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION

In OG there is a chapter on coordinate geometry, where parabolas are discussed:

"The graph of a quadratic function is called a parabola and always has the shape of the curve above, although it may be upside down or have a greater or lesser width. Note that the roots of the equation \(f(x) = x^2 − 1 = 0\) are \(x = 1\) and \(x = − 1\); these coincide with the x-intercepts since x-intercepts are found by setting \(y = 0\) and solving for x. Also, the y-intercept is \(f( 0) = − 1\) because this is the value of y corresponding to \(x = 0\). For any function f, the x-intercepts are the solutions of the equation \(f( x) = 0\) and the y-intercept is the value \(f (0)\)."


Here is an official question on it: https://gmatclub.com/forum/for-what-val ... 11639.html


_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Hey GMATinsight,

Can we have the official solution to this one ?
_________________

- Stne