5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y=x² +5x+10 (3) y=-2x²+6x-5 (2) y=-2x²-5x+3 (4) y=x² +6x+9 6. Which parabola below, when graphed, would cross the x-axis at two unequal irrational locations? (1) y=2x² +11x+12 (3) y=9x² - 6x +1 (2) y = xỉ +2x−4 (4) y = 2x2+4x+9 REASONING 7. Determine all values of a that will cause the parabola y=ax² +10x+1 to cross the x-axis at two distinct locations.

Elementary Geometry For College Students, 7e
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ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 44E: By definition, a hyperbola is the locus of points whose positive difference of distances from two...
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Please help mw with my homework question 6 and  7

5. If graphed, which of the following parabolas would lie entirely below the x-axis?
(1) y = x² +5x+10
(3) y=-2x² +6x–5
(2) у--2x*- 5x +3
(4) y = x² +6x+9
6. Which parabola below, when graphed, would cross the x-axis at two unequal irrational locations?
(1) y=2x² +11x+12
(3) у -9х*- 6х +1
(2) y = x² +2x-4
(4) y = 2x² +4x+9
REASONING
7. Determine all values of a that will cause the parabola y= ax² +10x+1 to cross the x-axis at two distinct
locations.
8. Consider the parabola whose equation is y=x² – 4x and the line whose equation is y= 2x+b, where b is
some unknown constant. Determine the value of b such that the line and the parabola will intersect at
exactly one location. Then, sketch the system of equations on the axes below. Label their intersection
point.
10+
Transcribed Image Text:5. If graphed, which of the following parabolas would lie entirely below the x-axis? (1) y = x² +5x+10 (3) y=-2x² +6x–5 (2) у--2x*- 5x +3 (4) y = x² +6x+9 6. Which parabola below, when graphed, would cross the x-axis at two unequal irrational locations? (1) y=2x² +11x+12 (3) у -9х*- 6х +1 (2) y = x² +2x-4 (4) y = 2x² +4x+9 REASONING 7. Determine all values of a that will cause the parabola y= ax² +10x+1 to cross the x-axis at two distinct locations. 8. Consider the parabola whose equation is y=x² – 4x and the line whose equation is y= 2x+b, where b is some unknown constant. Determine the value of b such that the line and the parabola will intersect at exactly one location. Then, sketch the system of equations on the axes below. Label their intersection point. 10+
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