For \( g(x)=\sin \left(x+45^{\circ}\right): \) This is a horizontal shift of \( f(x) \) to the left by \( 45^{\circ} \). x-intercepts: \( -225^{\circ},-135^{\circ},-45^{\circ}, 45^{\circ} \), \( 135^{\circ} \) Maximum point: \( \left(45^{\circ}, 1\right) \) Minimum point: \( \left(-135^{\circ},-1\right) \) For \( h(x)=\sin \left(x-45^{\circ}\right) \) : This is a horizontal shift of \( f(x) \) to the right by \( 45^{\circ} \). x-intercepts: \( -135^{\circ},-45^{\circ}, 45^{\circ}, 135^{\circ}, 225^{\circ} \) (Note: \( 225^{\circ} \) is outside the given range, so it's not plotted) Maximum point: \( \left(135^{\circ}, 1\right) \) Minimum point: \( \left(-45^{\circ},-1\right) \)
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