Home > Algebra > Quadratic Functions and Their Graphs

What is the axis of symmetry and vertex for the graph #y= -7x^2#?

Answer 1

Savannah Anderson

Axis of symmetry of this parabola is -ve y-axis. Vertex is (0, 0).

#x^2=-1/7y = -4/28y#. This parabola has focus at #(0, -1/28)#. The directrix is along y = #1/28#

By signing up, you agree to our Terms of Service and Privacy Policy

Answer 2

Ethan Adkins

The axis of symmetry for the graph ( y = -7x^2 ) is the vertical line passing through the vertex, which is the point where the parabola reaches its maximum or minimum value. To find the axis of symmetry, you can use the formula ( x = \frac{-b}{2a} ) for the quadratic equation ( y = ax^2 + bx + c ), where ( a = -7 ), ( b = 0 ), and ( c = 0 ). Plug in these values and solve for ( x ) to find the axis of symmetry. The vertex of the parabola is the point where the axis of symmetry intersects the parabola.

By signing up, you agree to our Terms of Service and Privacy Policy

Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.