Need help Please!
1 answer:
Answer:
<u>Given function:</u>
- f(x) = 4x² + 8x - 5
The x-intercept is the point(s) with y = 0
- 4x² + 8x - 5 = 0
- 4x² + 8x + 4 = 9
- (2x + 2)² = 9
- 2x = -2 ± 3
- x₁ = -2.5
- x₂ = 0.5
The leading coefficient is positive. It mean the graph opens up. It in turn means the vertex is the lowest point.
<u>The vertex is defined by: </u>
- x = -b/2a, which is x = -8/(2*4) = -1
- f(-1) = 4(-1)² + 8(-1) - 5 = -9
Plot the vertex (-1, -9), x-intercepts (0.5, 0) and (-2.5, 0) and connect the points considering the graph opens up. You may need to add more points to the graph if need more accurate graph.
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