Question

What are the x- and y-intercepts of the graph of y = x2 + 3x − 10? (1 point)

x-intercepts: (−2, 0) and (5, 0)
y-intercept: (0, 10)

x-intercepts: (−2, 0) and (−5, 0)
y-intercept: (0, 10)

x-intercepts: (−2, 0) and (5, 0)
y-intercept: (0, −10)

x-intercepts: (2, 0) and (−5, 0)
y-intercept: (0, −10)

Answer 1

x-intercepts: (2, 0) and (−5, 0)

y-intercept: (0, −10)

Explanation:

y = x^2 + 3x − 10

y-intercept when x = 0 so y = -10, so y-intercept : (0, -10))

x-intercept when y = 0 so

x^2 + 3x − 10 = 0

(x +5)(x - 2) = 0

x + 5 = 0; x = -5

x - 2 = 0; x = 2

So x-intercepts: (-5, 0) and (2,0)