Which of the following equations describes the graph?
y = x2 - 5x+2
y = x – 5x-2
y = 2x2 - 5x+2
y=2x² - 4x + 2

answer:

It is the FIRST equation that matches our expectations.

Step-by-step explanation:

The y-intercept of the graph is (0, 2), so we can immediately eliminate the function y = x - 5x - 2 (which has a y-intercept of (0, -2).

Next, we look at the remaining functions and determine which has axis of symmetry equal to x = 2.5 approx.:

First equation:  y = x^2 - 5x + 2; here a = 1 and b = -5, so the axis of symmetry is x = -(-5)/(2) = 2.5.  This matches our expectation.

Third equation:  y = 2x^2 - 5x + 2:  here a = 2 and b = -5, so the axis of symmetry is at x = -(-5)/[2*2]), or x = 5/4.  Does not match expectations.

Fourth equation:  y = 2x^2 - 4x + 2; here a = 2, b = -4, so that the axis of symmetry is x = -(-4)/[2*2], or x = 1.  Does not match expectations.

It is the FIRST equation that matches our expectations.

answer is the third choice:

3x^5+4x^4+x^3+2x^2-10x-7=0

step-by-step explanation: