Intercepts of $$$y = \left(x - 2\right)^{2} + 5$$$

The calculator will find the the x- and y-intercepts of $$$y = \left(x - 2\right)^{2} + 5$$$, with steps shown.
Like x+2y=3, y=2x+5 or x^2+3x+4.

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Your Input

Find find the x- and y-intercepts of $$$y = \left(x - 2\right)^{2} + 5$$$.

Solution

To find the x-intercepts, substitute $$$y = 0$$$ into the equation and solve the resulting equation $$$0 = \left(x - 2\right)^{2} + 5$$$ for $$$x$$$ (use the equation solver).

To find the y-intercepts, substitute $$$x = 0$$$ into the equation and solve the resulting equation $$$y = 9$$$ for $$$y$$$ (use the equation solver).

Answer

No x-intercepts.

y-intercept: $$$\left(0, 9\right)$$$.

Graph: see the graphing calculator.