Question

Convert the given equation into the other two forms. Label each form as standard, vertex, or intercept form.

Standard : y=x^2-4x-5
Vertex: y-4=-(x-4)^2

Answer 1

y = x² - 4x - 5 standard form

y = (x - 5)(x + 1) intercept form

y + 5 = x² - 4x

+4 +4

y + 9 = x² - 4x + 4

y + 9 = (x - 2)²

y = (x - 2)² - 9 vertex form

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y - 4 = -(x - 4)²

+4 +4

y = -(x - 4)² + 4 vertex form

y = -(x² - 8x + 16) + 4

y = -x² + 8x - 16 + 4

y = -x² + 8x - 12 standard form

y = (-x - 6)(x + 2) intercept form