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
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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


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Hey GMATinsight,

Can we have the official solution to this one ?
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