Question

Need help Please!

Answer 1

Answer:

Given function:

• f(x) = 4x² + 8x - 5

Part A

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

Part B

The leading coefficient is positive. It mean the graph opens up. It in turn means the vertex is the lowest point.

The vertex is defined by:

• x = -b/2a, which is x = -8/(2*4) = -1
• f(-1) = 4(-1)² + 8(-1) - 5 = -9

Part C

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.