1 of 8 0-day streak

Transform a quadratic and find its key features

Question 1 of 8

No calculator

The reference graph is \(y=x^2\)

The given quadratic is \(y = -x^2\)

The output is denoted by g(x). Use exact values for every response

(a)1 mark

State the transformations that produce the given quadratic from y=x²

Apply a vertical stretch by factor \(2\)

Reflect the graph in the x-axis

Make no change to the reference graph

Reflect the graph in the x-axis

Translate the graph \(1\) unit to the right

Reflect the graph in the x-axis

(b)3 marks

State the vertex coordinates and the x-value on the axis of symmetry

\(x_V\) \(y_V\) Axis x-value

Which way does the graph open?

The graph opens downward

The graph opens upward

(d)1 mark

How many times does the graph meet the horizontal axis?

The graph has two horizontal-axis intercepts

The graph has no horizontal-axis intercepts

The graph has one horizontal-axis intercept, where it touches the axis