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 \(y = (x+2)^2\)

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

(a)1 mark

Which statement describes the change from the graph of y=x² to the given graph?

Make no change to the reference graph

Apply a vertical stretch by factor \(2\)

Translate the graph \(2\) units to the left

Translate the graph \(2\) units to the right

Translate the graph \(2\) units to the left

(b)3 marks

Enter the vertex coordinates and the number in the symmetry equation x = ___

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

Does the graph open upward or downward?

The graph opens upward

The graph opens downward

(d)1 mark

How many horizontal-axis intercepts does the graph have?

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